SOLUTION: Solve the problem. In the morning, May drove to an appointment at 50 mph. Her average speed on the return trip in the afternoon was 40 mph. The return trip took 1/5 hour long

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Question 86810: Solve the problem.
In the morning, May drove to an appointment at 50 mph. Her average speed on the return trip in the afternoon was 40 mph. The return trip took 1/5 hour longer. How far did she travel to the appointment?
Solve the problem.
Find the length of a rectangular lot with a perimeter of 72 m if the length is 8 m more than the width.

Solve the problem.
A rectangular Persian carpet has a perimeter of 200 inches. The length of the carpet is 26 in. more than the width. What are the dimensions of the carpet?
Solve the problem.
A triangular shaped lake-front lot has a perimeter of 2200 ft. One side is 200 ft longer than the shortest side, while the third side is 500 ft longer than the shortest side. Find the lengths of all three sides.


Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
In the morning, May drove to an appointment at 50 mph. Her average speed on the return trip in the afternoon was 40 mph. The return trip took 1/5 hour longer. How far did she travel to the appointment?
:
Let d = distance one way
:
Write a time equation:
Time = Dist/speed
:
Time out + (1/5) = time back
d%2F50 + 1%2F5 = d%2F40
Mult equation by 200 to get rid of the denominators:
4d + 40 = 5d
40 = 5d - 4d
d = 40 mi
:
Check solution using the time:
40/50 = .8 hrs
40/40 = 1 hr which is .2 (1/5) hrs longer
:
:
Solve the problem.
Find the length of a rectangular lot with a perimeter of 72 m if the length is 8 m more than the width.
:
Let width = x
Then the length = (x+8)
:
2L + 2W = 72
Simplify:
L = W = 36
Substitute for L & W
(x+8) + x = 36
2x + 8 = 36
2x = 36-8
x = 28/2
x = 14 m is the width, the length: 14 + 8 = 22 m
:
Check solution
2(22) + 2(14) =
44 + 28 = 72
:
:
Solve the problem.
A rectangular Persian carpet has a perimeter of 200 inches. The length of the carpet is 26 in. more than the width. What are the dimensions of the carpet?
Solve the problem.
:
Let width = x
Then the Length = (x+26)
:
Do this exactly the same way
:
:
A triangular shaped lake-front lot has a perimeter of 2200 ft.
Let x = length of the shortest side:
:
One side is 200 ft longer than the shortest side,
One side = (x+200)
:
while the third side is 500 ft longer than the shortest side.
Third side = (x+500)
:
Find the lengths of all three sides.
x + (x+200) + (x+500) = 2200
;
You should be able to do this now.