# mat 116

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a busleaves a station at 1 pm, 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?

The distance traveled apart in the first hour si 44mi/hr * 1 hr.
The additional distance traveled after that hour is

44*t + 48*t

so, the total distance apart at time t is 44*1 + 44*t + 48*t
set that equal to 274mi, and solve for t.

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