SOLUTION: A train traveled m miles at a speed of s mph. A bus following the same route traveled 5 mph slower. How much longer did the bus take than the train to make this trip? Write the ans

Algebra ->  Real-numbers -> SOLUTION: A train traveled m miles at a speed of s mph. A bus following the same route traveled 5 mph slower. How much longer did the bus take than the train to make this trip? Write the ans      Log On


   



Question 176727: A train traveled m miles at a speed of s mph. A bus following the same route traveled 5 mph slower. How much longer did the bus take than the train to make this trip? Write the answer as a single rational expression.
Answer by solver91311(24713) About Me  (Show Source):
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Use distance = rate times time. d+=+rt. Here, d+=+m and r%5Bt%5D=s is the speed of the train. r%5Bb%5D=+s+-+5 is the speed of the bus.

Since d=rt, t=d%2Fr and...

for the train: t%5Bt%5D+=+m%2Fs

for the bus: t%5Bb%5D+=+m%2F%28s+-+5%29

To find out how much longer the bus took, subtract the train's time from the bus' time: