Math CentralQuandaries & Queries


Question from Devon, a student:

A bus leaves a station at 1 p.m., traveling west at an average rate of 44 mi/h. One hour later a second bus leaves the same station, traveling east at a rate of 48 mi/h. At what time will the two buses be 274 mi apart?

Hi Devon,

I want to start timing at 2:00, the time when the second bus leaves the station. After 2:00 the busses are moving apart at 44 + 48 = 92 mi/hr. They are 44 miles apart at 2:00 so they have 274 - 44 = 230 miles to go. The distance between them is increasing at 92 mi/hr. How long does it take for this distance to reach 230 miles?

Stephen and Penny

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