SOLUTION: A car traveling 56 mph overtakes a cyclist who, traveling at 14 mph, had a 1.5 h head start. How far from the starting point does the car overtake the cyclist?

Question 201442: A car traveling 56 mph overtakes a cyclist who, traveling at 14 mph, had a 1.5 h head start. How far from the starting point does the car overtake the cyclist?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A car traveling 56 mph overtakes a cyclist who, traveling at 14 mph, had a 1.5 h head start. How far from the starting point does the car overtake the cyclist?
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The car gains on the cycle at 42 mph (= 56 - 14). The cycle is 21 miles ahead ( = 1.5 hours x 14 mph).
It will take 0.5 hours to overtake the cycle ( = 21/42).
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In 0.5 hours, the car will travel 28 miles (56/2).
28 miles from the starting point.
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