SOLUTION: a cyclist leaves a certain place at a constant speed of 33 kilometers per hour. Three and a half hours later, a motorist leaves the same starting point and overtakes the cyclist in

Algebra ->  Length-and-distance -> SOLUTION: a cyclist leaves a certain place at a constant speed of 33 kilometers per hour. Three and a half hours later, a motorist leaves the same starting point and overtakes the cyclist in      Log On


   

Question 551368: a cyclist leaves a certain place at a constant speed of 33 kilometers per hour. Three and a half hours later, a motorist leaves the same starting point and overtakes the cyclist in 2.5 hours. What is the speed of the motorist?
Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
Distance = Rate * Time


The cyclist travels D = 33 * 3.5 = 115.5 km in 3.5 hours. That's the distance the motorist makes up in the 2.5 hours.


115.5 = R * 2.5
R = 115.5/2.5 = 46.2 km/h

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