SOLUTION: A truck can travel 165 miles in the same time that it takes a car to travel 180 miles. If the trucks rate is 5 mph slower than the car's, find the average rate for each.

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Question 604151: A truck can travel 165 miles in the same time that it takes a car to travel 180 miles. If the trucks rate is 5 mph slower than the car's, find the average rate for each.
Answer by alicealc(293) About Me  (Show Source):
You can put this solution on YOUR website!
Truck's speed = T
Car's speed = C

T = C - 5

165/T = 180/C
165C = 180T
(divide all by 15)
11C = 12T
11C = 12*(C - 5)
11C = 12C - 60
60 = 12C - 11C
60 = C

So, the average speed of the car is 60 mph, and the truck is 60 - 5 = 55 mph