SOLUTION: A truck can travel 150 miles in the same time that it takes a car to travel 200 miles. If the truck's rate is 10 miles per hour slower than the car's, find the average rate for ea

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A truck can travel 150 miles in the same time that it takes a car to travel 200 miles. If the truck's rate is 10 miles per hour slower than the car's, find the average rate for ea      Log On

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Question 130554: A truck can travel 150 miles in the same time that it takes a car to travel 200 miles. If the truck's rate is 10 miles per hour slower than the car's, find the average rate for each.
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
150/X=200/(X+10) NOW CROSS MULTIPLY.
200X=150(X+10)
200X=150X+1,500
200X-150X=1,500
50X=1,500
X=1,500/50
X=30 MPH FOR THE TRUCK.
30+10=40 MPH FOR THE CAR.
PROOF:
150/30=200/40
5=5