Math CentralQuandaries & Queries


Question from abdel, a student:

Mac walked to a park from the college at 5 km/h. 10 minutes later, Steve started
riding his bike at 15 km/h to the same park to meet Mac. They arrive at the same
time at the park. How far is the park from the college?

Let’s assume that Mac and Steve follow the same path to get to the park and that the path is a straight line (think about whether or not we might require such assumptions!)

If Steve sets off 10 minutes after Mac, how far ahead is Mac at that point?

If they arrive at the park at the same time then the distance between them is zero at that moment.  How long would it take Steve (travelling 10 km/hr faster than Mac) to close the gap between them?

How far is did Steve travel in that time?


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