Question 43191
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 by 274 mi apart?

Bus West DATA:
 distance=?; rate=44 mph;  time=x-----  therefore distance =44x

Bus East DATA:
 distance=?; rate=48 mph; time=x-1----- therefore distance = 48(x-1)

EQUATION:
 distance west + distance east = 274
 44x + 48(x-1)=274

92x=322
x=3.5 hrs

They will be 274 miles apart at 4:30

Cheers,
Stan H.