SOLUTION: A car traveling at 48 mph overtakes a cyclist who, riding at 12 mph, had a 3-hour head start. How far from the starting point does the car overtake the cyclist?

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Question 1151925: A car traveling at 48 mph overtakes a cyclist who, riding at 12 mph, had a 3-hour head start. How far from the starting point does the car overtake the cyclist?
Answer by ikleyn(52787)   (Show Source): You can put this solution on YOUR website!
.

Let d be the distance under the question.


The time spent by the car to overtake the cyclist is   hours, starting from the car' start.


The time spent by the cyclist is    hours.


Both times are the same


     = 


    d = 4*(d-36)

    d = 4d - 144

    144 = 4d - d

    144 = 3d

    d   = 144/3 = 48 miles.    ANSWER

Solved.


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