SOLUTION: A bus traveling 40m/h and a car traveling 50m/h cover the same distance. The bus travels one more hour than the car. How many hours did each travel?

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Question 55368: A bus traveling 40m/h and a car traveling 50m/h cover the same distance. The bus travels one more hour than the car. How many hours did each travel?
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
A bus traveling 40m/h and a car traveling 50m/h cover the same distance. The bus travels one more hour than the car. How many hours did each travel?
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Bus DATA:
distance= x miles ; rate= 40 mph ; time= d/r = x/40 hr.
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Car DATA:
distance = x miles ; rate= 50 mph ; time = d/r = x/50 hr.
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EQUATION:
Bus time = Car time + 1 hr.
x/40 = x/50 + 1
Multiply thru by 200 to get:
50x = 40x + 200
10x = 200
x = 20 miles
The Bus traveled 20/40 = 1/2 hr.
The Car traveled 20/50 = 2/5 hr.
Cheers,
Stan H.