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Suppose that a cyclist began a 495 ride across a state at the western edge of th

ID: 3210558 • Letter: S

Question

Suppose that a cyclist began a 495 ride across a state at the western edge of the state, at the same time that a car traveling toward it leaves the eastern end of the state. If the bicycle and car met after 7.5 hours and the car traveled 38.6 mph faster than the bicycle , find the average rate of each Suppose that a cyclist began a 495 ride across a state at the western edge of the state, at the same time that a car traveling toward it leaves the eastern end of the state. If the bicycle and car met after 7.5 hours and the car traveled 38.6 mph faster than the bicycle , find the average rate of each

Explanation / Answer

let average rate of cyclist = x miles / hour

then avearage rate of car = x + 38.6 miles / hour

setting up the equation

7.5 = 495 / ( 2x + 38.6 )

x = 13.7

hence , avearge rate of cyclist = 13.7 miles / hour

average rate of car = 52.3 miles / hour

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