SOLUTION: A car traveling at 52 mph overtakes a cyclist who, riding at 13 mph, had a 3-hour head start. How far from the starting point does the car overtake the cyclist?

Question 762315: A car traveling at 52 mph overtakes a cyclist who, riding at 13 mph, had a 3-hour head start. How far from the starting point does the car overtake the cyclist?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Car and bicyclist traveled for different quantities of time. The car was traveling for h hours. The bicyclist was traveling for h+3 hours. Their meeting or car overtaking bicyclist give distances equal, this way:

, equated distances when car overtook bicyclist.

hours.

How far was that knowing the time of the car's travel?

miles
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