# 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?

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 Click here to see ALL problems on Travel Word Problems 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(30993)   (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? ----------------- 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). ----------------- In 0.5 hours, the car will travel 28 miles (56/2). 28 miles from the starting point.