SOLUTION: A truck can travel 140 miles in the same time it takes a car to travel 180 miles. If the trucks rate is 10 miles per hour slower than the cars, find the average rate for each. The

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Question 750279: A truck can travel 140 miles in the same time it takes a car to travel 180 miles. If the trucks rate is 10 miles per hour slower than the cars, find the average rate for each.
The rate of the car is ____ miles per hour.
The rate of the truck is ____ miles per hour.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A truck can travel 140 miles in the same time it takes a car to travel 180 miles.
If the trucks rate is 10 miles per hour slower than the cars, find the average rate for each.
:
let s = the speed of the truck
then
(s+10) = speed of the car
:
Write a time equation: time = dist/speed
140%2Fs + 180%2F%28%28s%2B10%29%29
Cross multiply
180s = 140(s+10)
180s = 140s + 1400
180s - 140s = 1400
40s = 1400
s = 1400/40
s = 35 mph is the speed of the truck
:
I'll let you find the speed of the car. Check your solutions by finding the
actual time of each, they should be equal