5-1 None but if you want to do a couple for review it wouldn't hurt as I will include graphing on test 5 and the final.
Assignment #23 and #24
Section 5-2 / p. 212 / 1-28 (skip by 3), 29 through 36 (solve two but write the two equations for them all)
Section 5-4 / p.220-222 / 2, 3, 9, 11, 13, 14, 15, 19, 20, 22, 26, 27, 30
Assignment #25
Section 5-5 / 1,4,7,8,10,11,12, write the equations for 13-20, use substitution to solve 17 and 19 showing your work. Solve 22 using algebra (not by graphing like the book says)
Study Group assignment for test 5:
First complete the study group assignment for TEST 4b:
Study Group Assignment for Test 4b.
Page 191-192/20-28,30also
On 24 write the cost and income functions
On 25 how many houyrs until the bacterias have doubled?
On 26, what rate would be required if he wanted the value to triple in 18years.
On 27, how many years ago was the popualtion size less than 200,000On 30, find the axis of symmetry located at x = -b/2a then find p at that point.
Is this a max or a min. What does it tell you about the profit?
Last problems / p. 193/18 (specifically) how long until the population doublesand 20 (a,b, & c)
then on for chapter 5 on page 228-229 do 6, 8, 12-16, 18, 19
Since this is a bit more involved I will make this one worth 6 pts.
Monday, December 08, 2008
Tuesday, April 22, 2008
House Lab Parts 1 & 2
College Algebra;
House Lab Part I and directions for Part 2
Note: Part 2 is not required this year.
Lab 3 Part 1
"Buying the House"
DUE: Wednesday 4/22/09
Prep work: I’ve done it for you. Use the Excel sheet I’ve sent. You can print it out or type into it but you still have to show your work as specified in the following directions.
You're now ready to begin….
.
1. Suppose you are looking to buy a house in a range of values from $50,000 to $350,000. Find such a house in a local you are interested in and print off the listing to include with your lab. If part two is assigned this is the house you will furnish.
Note: Part 2 is not required this year.
Lab 3 Part 1
"Buying the House"
DUE: Wednesday 4/22/09
Prep work: I’ve done it for you. Use the Excel sheet I’ve sent. You can print it out or type into it but you still have to show your work as specified in the following directions.
You're now ready to begin….
.
1. Suppose you are looking to buy a house in a range of values from $50,000 to $350,000. Find such a house in a local you are interested in and print off the listing to include with your lab. If part two is assigned this is the house you will furnish.
.
2. Suppose you make an offer and they counter-offer and you both agree to a price that is 8% below what they are asking. What is the selling price of the house?
2. Suppose you make an offer and they counter-offer and you both agree to a price that is 8% below what they are asking. What is the selling price of the house?
.
To get a good interest rate depends a lot on your credit score but also on the amount you put down on the house initially. Banks are looking for buyers to have at least a 20% stake in the house they intend to buy to make it harder to walk away from it, if times get rough financially.
To get a good interest rate depends a lot on your credit score but also on the amount you put down on the house initially. Banks are looking for buyers to have at least a 20% stake in the house they intend to buy to make it harder to walk away from it, if times get rough financially.
.
3. Assume you will make a 20% down payment. Determine what your down payment will be and how much you will you have to borrow. You will also be responsible for about $6000 for closing costs, government stamps, title insurance and what-not. You can add this $6000 to your down payment, even though technically it is something else, but we’ll allow it because it, like the down-payment, is an out-of-pocket cost as well.
3. Assume you will make a 20% down payment. Determine what your down payment will be and how much you will you have to borrow. You will also be responsible for about $6000 for closing costs, government stamps, title insurance and what-not. You can add this $6000 to your down payment, even though technically it is something else, but we’ll allow it because it, like the down-payment, is an out-of-pocket cost as well.
.
4. Research on-line to find the best mortgage you can available in Florida for each of the term lengths given in the table. Fill in the table with these rates and attach a print out of the webpage that you found the rate on, circle it and attach the print out (NO COPIES) to the rear of your lab. Use the link http://www.bankrate.com/brm/rate/mtgRsearch_loanamt.asp?params=0,FL,569&refi=0&product=1&points= . I used Winterhaven as my location but you don’t have to.
4. Research on-line to find the best mortgage you can available in Florida for each of the term lengths given in the table. Fill in the table with these rates and attach a print out of the webpage that you found the rate on, circle it and attach the print out (NO COPIES) to the rear of your lab. Use the link http://www.bankrate.com/brm/rate/mtgRsearch_loanamt.asp?params=0,FL,569&refi=0&product=1&points= . I used Winterhaven as my location but you don’t have to.
.
NOTE: When you get there be careful to ignore the fields that are advertisements. They are “sneaky”. Anything that takes you away from Bankrate.com means you clicked an advertisement. Also when you search for available rates make sure you pick the lowest one with 0.000 discount and origination points. This is another way bankers make their rates look more competitive but hit you for it with extra fees up front.
NOTE: When you get there be careful to ignore the fields that are advertisements. They are “sneaky”. Anything that takes you away from Bankrate.com means you clicked an advertisement. Also when you search for available rates make sure you pick the lowest one with 0.000 discount and origination points. This is another way bankers make their rates look more competitive but hit you for it with extra fees up front.
.
5. Calculate by hand the monthly payment based on the loan amount you determined for two of the term lengths given using the rates you found and the formula found on page 171. Show all your set-up and your step by work on a separate page and label the page “WORKSHEET”. Label the work for each as well so I know which problem you are doing. State clearly what the values are that you are using for each of the variables in the formula and show all the steps required for simplifying the formula. If you are a little off because of rounding that is to be expected but round as little as possible.
5. Calculate by hand the monthly payment based on the loan amount you determined for two of the term lengths given using the rates you found and the formula found on page 171. Show all your set-up and your step by work on a separate page and label the page “WORKSHEET”. Label the work for each as well so I know which problem you are doing. State clearly what the values are that you are using for each of the variables in the formula and show all the steps required for simplifying the formula. If you are a little off because of rounding that is to be expected but round as little as possible.
.
6. Verify the monthly payments you calculated are accurate by comparing them to the estimated payments found in the loan data sheet you printed off from the internet (it is the 8th column)
6. Verify the monthly payments you calculated are accurate by comparing them to the estimated payments found in the loan data sheet you printed off from the internet (it is the 8th column)
.
7. After doing two of the monthly payment calculations by hand, you can fill in the monthly payments for the remaining two term lengths using the estimates provided by the internet site.
7. After doing two of the monthly payment calculations by hand, you can fill in the monthly payments for the remaining two term lengths using the estimates provided by the internet site.
.
8. Finally, fill in all remaining empty cells in the table, showing and labeling all the work for the last 3 columns on the WORKSHEET. Use additional pages as needed. Be neat and well organized. .
9. ESSAY Question for part ONE:
.
Based on your research, describe in a two-three paragraph comparative essay, both the pros and cons to short and long term mortgages. Be sure to compare them citing some of the values found in your table and what they mean particularally the last column. Also state what demographic you believe each term length would appeal to and why. If you aren’t familiar with the term demographic try http://en.wikipedia.org/wiki/Demographic and look at demographic profiles or if that doesn’t work come by my office.
8. Finally, fill in all remaining empty cells in the table, showing and labeling all the work for the last 3 columns on the WORKSHEET. Use additional pages as needed. Be neat and well organized. .
9. ESSAY Question for part ONE:
.
Based on your research, describe in a two-three paragraph comparative essay, both the pros and cons to short and long term mortgages. Be sure to compare them citing some of the values found in your table and what they mean particularally the last column. Also state what demographic you believe each term length would appeal to and why. If you aren’t familiar with the term demographic try http://en.wikipedia.org/wiki/Demographic and look at demographic profiles or if that doesn’t work come by my office.
.
.
Part II Pg 195-197/Lab exercise 5
.
"Furnishing The House"
.
DUE: Not assigned this term
.
For this part of the lab furnish you house following the instructions for lab exercise 5. Attach the Web pages with pictures and prices for the furniture you pick. No copies of web pages accepted. Advertisements from Newspaper circulars like Sears are also acceptable. Just cut them out making sure to include both the price and picture and attach them. Answer all the questions given in the book with the addition of the following:
.
Short response QUESTION for part two:
.
The original offer was a typical 20% down, 0%financing, same-as-cash ploy many businesses employ to sucker their customers. While for the first 24months the offer is truly same as cash, we see that if the complete balance was not paid off in the given 2 year cycle the deferred finance charges get billed to the account at a very high interest rate. Given that fact and the work you did for questions three and four discuss why a credit card purchase might be a better choice for a financing option (given a reasonably low APR). A short, one paragraph answer is sufficient for answering this question
Part II Pg 195-197/Lab exercise 5
.
"Furnishing The House"
.
DUE: Not assigned this term
.
For this part of the lab furnish you house following the instructions for lab exercise 5. Attach the Web pages with pictures and prices for the furniture you pick. No copies of web pages accepted. Advertisements from Newspaper circulars like Sears are also acceptable. Just cut them out making sure to include both the price and picture and attach them. Answer all the questions given in the book with the addition of the following:
.
Short response QUESTION for part two:
.
The original offer was a typical 20% down, 0%financing, same-as-cash ploy many businesses employ to sucker their customers. While for the first 24months the offer is truly same as cash, we see that if the complete balance was not paid off in the given 2 year cycle the deferred finance charges get billed to the account at a very high interest rate. Given that fact and the work you did for questions three and four discuss why a credit card purchase might be a better choice for a financing option (given a reasonably low APR). A short, one paragraph answer is sufficient for answering this question
Thursday, February 21, 2008
INFORMATION REGARDING STUDY GROUPS AND SERVICE LEARNING
Pick up your study group registration form outside my door. It must be signed and initialed by a full time faculty/staff. Turn that into me before the test and show me your completed study group assignment when I check the homework to get the extra 5pts added to the test. Though one registration form is sufficient for the whole group for end of year credit, Each individual person in the group must turn in their own completed review work to recieve the five points of extra credit on the test.
Chapter 4 Homework Assignments
Assignment 16
Section 4-1 / pg 141-143/1, 2, 5, 7, 11, 13, 15, 17, 18, 19, 21, 23, 25
Section 4-2 / pg 147-149/2, 3-27(skip by 3), also 22, 25, and 26
Assignment 17
Section 4-3 / pg 154-155 / 2-22(even),25,26
Assignment 18
Section 4-4 / pg 165-166 / 2 -30(skip by fours)
Asssignment 19
Section 4-4 / pg 165-166 / special questions
Section 4-1 / pg 141-143/1, 2, 5, 7, 11, 13, 15, 17, 18, 19, 21, 23, 25
Section 4-2 / pg 147-149/2, 3-27(skip by 3), also 22, 25, and 26
Assignment 17
Section 4-3 / pg 154-155 / 2-22(even),25,26
Assignment 18
Section 4-4 / pg 165-166 / 2 -30(skip by fours)
Asssignment 19
Section 4-4 / pg 165-166 / special questions
For #21a & b / calculate how long it would take for the investment of $900 to reach a maturity value of $2000 at the rate given.
#25 How long for Sean's money to double?
#K1 In 1995 the price of a movey ticket was $6.50. It is now $9.50. Use the continuously compounding interest formula to calculate the rate of inflation.
#K2 Suppose in four years a CD that was compounded montyhly grew 23%. Find the annual rate.
#K3. Evaluate y = A(b)^(kx)
that is y is equal to A (some amount) times b (the base) raised to the k times x power.
a. When A = 30, b = e and k = .05 and x = 0
b. When A = 15,000, b = 1.08, k = 1 and x = 10
c. When A = 120,000 , b = e, k = -.012 and x = 30
d. Find x when A = 3, b = e, k = 2, y = 445.24
e. Find x when A = 180,000 , b = 3 , k = 2 and y = 20,000
#K4. One very important exponential equation is the compound-interest
formula. It says:
A = P ( 1 + r/n)^(nt)
...where "A" is the ending amount, "P" is the beginning amount (or "principal"), "r" is the interest rate (expressed as a decimal), "n" is the number of compoundings a year, and "t" is the total number of years. The formula calculates the amount (A) owed a person who leaves their money (P) in an account that compounds interest in n times per year, based on a rate of r % Interest per year, for t years of time.
a. Use this formula to calculate the amount of money $10,000 would earn if it were invested at 4.5 percent per year for 8 years in an account that compounded the interest monthly (12 times per year)
b. Use this formula to calculate how long until the investment will have earned a 50% return (that is how long until the investment earns $5000 in interest and is valued at $15,000 total)
c. Use this formula to calculate what interest rate double a person's initial investment in 12 years if the account the account compounded the interest on a monthly basis.
Study Group Assignment for Test 4a
pg.190-191/1-19all
also
My special problem:
A certain home has increased in value over 30 years from $75,000 to $168,ooo. Using the continuous growth formula
a) find the rate of appreciation,
b) determine the estimated value of the investment property ten years from when it was appraied at $168,000 and
c) calculate about how long it would take for the value to double (again from the base of $168,000) .
Assignment 20
Section 4-5 / pg 172-174 /2-8even, 13-30
Assignment 21
Section 4-6 / pg 179-181 / 2-28(even), 25also
Assignment 22
Section 4-7 / pg 187 -188 / 1, 3, 5, 6-8, 10-18(even), 19, 20, 22(see special instuctions also)
Also on #22, Using the P(x) function given, find the x and y intercepts, the location of the axis of symmetry, and the max/min point. Explain what each of those three things mean in the context of the problem.
Study Group Assignment for Test 4b.
Page 191-192/20-28,30
also
On 24 write the cost and income functions
On 25 how many houyrs until the bacterias have doubled?
On 26, what rate would be required if he wanted the value to triple in 18years.
On 27, how many years ago was the popualtion size less than 200,000
On 30, find the axis of symmetry located at x = -b/2a then find p at that point. Is this a max or a min. What does it tell you about the profit?
Last problems / p. 193/18 (specifically) how long until the population doubles
and 20 parts a,b, & c
Chapter 3 Homework Assignments
Assignment 10
Section 3.1 pg.94/21-26
Section 3.2 pg.100-102/2-30(evn)
Assignment 11
Section 3.3 pg.107-109/2-20(evn)
Assignment 12
Section 3.4 pg.115-117/1-39(odd)
Assignment 13
Section 3.4 pg.115-117/2-40(evn)
Assignment 14
Click here for Homework on completing the square and related craziness
Assignment 15
Section 3.5 pg.125-126/1-23(odd),24
Study Group Assignment
pg129-130/chapter Test/all
Also review the following concepts
1. Taking an equation and putting it in function notation
2. Evaluate the value of a function given a specific value for x
3. Identify independant and dependant variables
4. Find the x and y intercepts from functions and explain their meaning
5. Constuct and interpret graphs of functions accurately
6. Write linear equations for a table or word problems
7. Write a piece wise linear function relating to tax, phone plans or pay of sales people with quotas
8. The dreaded variation problems
Section 3.1 pg.94/21-26
Section 3.2 pg.100-102/2-30(evn)
Assignment 11
Section 3.3 pg.107-109/2-20(evn)
Assignment 12
Section 3.4 pg.115-117/1-39(odd)
Assignment 13
Section 3.4 pg.115-117/2-40(evn)
Assignment 14
Click here for Homework on completing the square and related craziness
Assignment 15
Section 3.5 pg.125-126/1-23(odd),24
Study Group Assignment
pg129-130/chapter Test/all
Also review the following concepts
1. Taking an equation and putting it in function notation
2. Evaluate the value of a function given a specific value for x
3. Identify independant and dependant variables
4. Find the x and y intercepts from functions and explain their meaning
5. Constuct and interpret graphs of functions accurately
6. Write linear equations for a table or word problems
7. Write a piece wise linear function relating to tax, phone plans or pay of sales people with quotas
8. The dreaded variation problems
Monday, January 28, 2008
Chapter 2 Homework Assignments
Assignment 7
Sect 2.1/every fourth
Sect 2.2/every fourth and 9,10,35,37,38
Plus these six:
1. Write the equation for a circle of radius 9 whose center is at (-4,3)
2. Find two points on this circle by inputing values for either x or y and solving for the other unknown
3. Write the equation of a circle whose radius is the square root of 8 and center is at (2,-2)
4. Find the distance between (3,-2) and (7,-7). Craw a graph and use pythagorean theorem
5. Write the equation if (3,-2) were the center of the circle and (7,-7) were a point on the circles circumference.
6. Find the equation of a circle that has its center at (-1,4) and passes through the point (4-9)
Assignment 8
Sect 2.3/every fourth
Sect 2.4/every fourth
Assignment 9
Sect. 2.5/every third
Labs due next Monday!!
Study Group Assignment for Chapter 2
Chapter Test / p. 78-79 / 1-20
Also the following:
21. Write the formula of a circle whose center is at (2, 3) and whose radius is 2.5 .
22. Find the y-intercepts of the equation the circle you gave above.
23. Suppose an earthquake was felt in Florida and the S-waves, traveling at 4km/sec, arrived 123 secs after the P-waves, traveling at 7.5km/sec. How far away would the readings indicate the epicenter or cause of the tremors was?
24. Write the formula for the circle which has a center at (-3, 5) and contains the point (2, -7).
25. Find two more points that would reside on this circle by setting to x = 4 .
Don't forget to bring individually your completed work and one registration form per group to the test for credit.
Sect 2.1/every fourth
Sect 2.2/every fourth and 9,10,35,37,38
Plus these six:
1. Write the equation for a circle of radius 9 whose center is at (-4,3)
2. Find two points on this circle by inputing values for either x or y and solving for the other unknown
3. Write the equation of a circle whose radius is the square root of 8 and center is at (2,-2)
4. Find the distance between (3,-2) and (7,-7). Craw a graph and use pythagorean theorem
5. Write the equation if (3,-2) were the center of the circle and (7,-7) were a point on the circles circumference.
6. Find the equation of a circle that has its center at (-1,4) and passes through the point (4-9)
Assignment 8
Sect 2.3/every fourth
Sect 2.4/every fourth
Assignment 9
Sect. 2.5/every third
Labs due next Monday!!
Study Group Assignment for Chapter 2
Chapter Test / p. 78-79 / 1-20
Also the following:
21. Write the formula of a circle whose center is at (2, 3) and whose radius is 2.5 .
22. Find the y-intercepts of the equation the circle you gave above.
23. Suppose an earthquake was felt in Florida and the S-waves, traveling at 4km/sec, arrived 123 secs after the P-waves, traveling at 7.5km/sec. How far away would the readings indicate the epicenter or cause of the tremors was?
24. Write the formula for the circle which has a center at (-3, 5) and contains the point (2, -7).
25. Find two more points that would reside on this circle by setting to x = 4 .
Don't forget to bring individually your completed work and one registration form per group to the test for credit.
Wednesday, January 09, 2008
Chapter 1 Homework Assignments
Assignment 1
Section 1.1 None
Section 1.2 Read the entire section as you are responsible for all its information
Section 1.3 / pg. 16 / 17-32
Section 1.4 / pgs. 19-20 / 2-34(evens) and also 25, 27, and 33
Assignment 2
Section 1.5 / pgs. 24-25 / 2-18 even (these are kinda lame but on the test), 19-28, 30-45(every third)
1. (x+3)/6 = 15/(x-3)
2. (2/3)(x+5) = 12/(x-4)
3. (x/5) + (x/4) = 3/20
4. (x-6)/2 - (3x-6)/3 = 0
5. (x+4)/7 = 6/(x+3)
6. (x-2)/3 = 5/(2x+3)
Assignment 3
Section 1.6 / pgs. 30-31 / 2-40 evens and also the following to be solved:
1. After a 4% increase the price of Tom's stocks were valued @ $57.20. What was the original price. Use the formula on page 29.
2. Explain why a person could calculate the original value of teh previous simply by dividing by 1.04.
Assignment 4
Handout given in class
Assignment 5
Section 1.7 / 2-12even, 13-14, 16, 18-24, 26, 28, 30, 33, 34, 36, 38, 40
Also do these. Remeber define your variables and write an equation for each constraint.
1. The length of a certain rectangle is 3 more than twice its width. Its perimeter id 55.5 meters. Find its dimensions.
2. The length of the same rectangle as above is 3 more than twice its width. Suppose you didn't know the information about its perimeter and were instead told that the area is 160.875 square meters, write the new set of constraints and use substitution to solve this one as well.
3. Find three consecutive even integers that meet this condition: Triple the highest value taken fron double the second highest is the opposite of three times the lowest.
4. Find three consecutive integers that meet this condition. The sum of three times the second number, double the first number and five times the last number is eight.
Assignment 6
I give these in my intermediate algebra class. Lets see how y'all do.
1. the age of a person 5 years ago
2. My weight after I lose 12 pounds
3. the amount of a 10% discount
4. The price of a car after 7% sales tax is added
5. The speed of a cyclist who takes x hours to travel 75miles
6. three less than twice the length
7. two thirds of the sum of your savings and checkings account
8. 80% of the volume of a container
9. the number of laps left after x laps are completed in a 20 lap race.
10. The number of years until my youngest neice turns 16
11. The number of miles left for me to drive if my wife drives w miles of a 1400 mile trip.
Translate the following sentences into equation:
Begin by defining a variable for each value that is unknown.
1. My neice's age now is equal to one third of my age two years ago.
2. length of a rectangle is five less than half the width
3. In Four years from now my nephew will be exactly half my age.
4. Right now I am 1 year more than 3 times my nephew's age.
5. The Amount of my car loan will be Price of the Car minus the 20% down payment.
6. the sale price on that shirt is 15% off of the regular retail price.
7. The downpayment is 20% of the original cost
8. my new rate of pay represents a 4% increase over my original rate.
Pg 40-41/ 2-12,14,16,18-27,29-33,35
Section 1.1 None
Section 1.2 Read the entire section as you are responsible for all its information
Section 1.3 / pg. 16 / 17-32
Section 1.4 / pgs. 19-20 / 2-34(evens) and also 25, 27, and 33
Assignment 2
Section 1.5 / pgs. 24-25 / 2-18 even (these are kinda lame but on the test), 19-28, 30-45(every third)
1. (x+3)/6 = 15/(x-3)
2. (2/3)(x+5) = 12/(x-4)
3. (x/5) + (x/4) = 3/20
4. (x-6)/2 - (3x-6)/3 = 0
5. (x+4)/7 = 6/(x+3)
6. (x-2)/3 = 5/(2x+3)
Assignment 3
Section 1.6 / pgs. 30-31 / 2-40 evens and also the following to be solved:
1. After a 4% increase the price of Tom's stocks were valued @ $57.20. What was the original price. Use the formula on page 29.
2. Explain why a person could calculate the original value of teh previous simply by dividing by 1.04.
Assignment 4
Handout given in class
Assignment 5
Section 1.7 / 2-12even, 13-14, 16, 18-24, 26, 28, 30, 33, 34, 36, 38, 40
Also do these. Remeber define your variables and write an equation for each constraint.
1. The length of a certain rectangle is 3 more than twice its width. Its perimeter id 55.5 meters. Find its dimensions.
2. The length of the same rectangle as above is 3 more than twice its width. Suppose you didn't know the information about its perimeter and were instead told that the area is 160.875 square meters, write the new set of constraints and use substitution to solve this one as well.
3. Find three consecutive even integers that meet this condition: Triple the highest value taken fron double the second highest is the opposite of three times the lowest.
4. Find three consecutive integers that meet this condition. The sum of three times the second number, double the first number and five times the last number is eight.
Assignment 6
I give these in my intermediate algebra class. Lets see how y'all do.
Write an expression that represents:
1. the age of a person 5 years ago
2. My weight after I lose 12 pounds
3. the amount of a 10% discount
4. The price of a car after 7% sales tax is added
5. The speed of a cyclist who takes x hours to travel 75miles
6. three less than twice the length
7. two thirds of the sum of your savings and checkings account
8. 80% of the volume of a container
9. the number of laps left after x laps are completed in a 20 lap race.
10. The number of years until my youngest neice turns 16
11. The number of miles left for me to drive if my wife drives w miles of a 1400 mile trip.
Translate the following sentences into equation:
Begin by defining a variable for each value that is unknown.
1. My neice's age now is equal to one third of my age two years ago.
2. length of a rectangle is five less than half the width
3. In Four years from now my nephew will be exactly half my age.
4. Right now I am 1 year more than 3 times my nephew's age.
5. The Amount of my car loan will be Price of the Car minus the 20% down payment.
6. the sale price on that shirt is 15% off of the regular retail price.
7. The downpayment is 20% of the original cost
8. my new rate of pay represents a 4% increase over my original rate.
.
Review Assignment for Study Groups:
Pg 40-41/ 2-12,14,16,18-27,29-33,35
Review the last problem given on assignment #4 and try these four:
1. What was the intial value of my house if it loss 17% of its original value due to the bad economy it is now worth $183,333?
2. (x+4)/6 = 9/2x-6
3. (x-3)/6 - 2/(4x-6)=15/38
4. Two trains are traveling in opposite directions along parallel tracks moving cargo from a seaport to a distribution warehouse in the mountains.. The loaded one is traveling at 40mph slightly uphill and the empty at 65mph on the return leg. It is true though that they both travel the same distance. If they leave at the same time from opposite ends of the track but it takes the loaded one 50minutes longer to make the trip, how far apart are the seaport and the warehouse? (keep in mind that since D= rt, t=D/r)
Bonus just for fun: When do they pass each other?
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