Suppose that a cyclist began a 308 mike ride across a state at the western edge

Question

Suppose that a cyclist began a 308 mike 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 at 5.5 hr and the car traveled 35.2mph faster than the bicycle find the average rate of each Suppose that a cyclist began a 308 mike 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 at 5.5 hr and the car traveled 35.2mph faster than the bicycle find the average rate of each

Explanation / Answer

let average rate of bicycle = x mph

then average rate of car = x + 35.2

applying distance rate time formula

d = rt

308 = xt

308 = ( x + 35.2 ) t

5.5 = 308 / ( 2x + 25.2 )

x = 15.4

so, avearge rate of cyclist = 15.4 miles / hour

average rate of car = 50.6 miles / hour

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