SOLUTION: a local commuter train leaves washington at 6 am averaging 36 mph at 7:15 am, a high speed express train leaves the same station traveling on a on a paralel track at 81 mph when w

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Question 366533: a local commuter train leaves washington at 6 am averaging 36 mph at 7:15 am, a high speed express train leaves the same station traveling on a on a paralel track at 81 mph when will the express train catch up to the local commuter

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi,
d = r*t
Let t represent the time the express train travels.
then (t + 1.25hr) is the time the local commuter travels (1hr and 15min = 1.25hr)
Distance will be the same when the express train catches up to the local commuter***
36mph(t + 1.25hr)= 81mph*t
36*1.25hr = 45mph*t
1 hr = t, the time the express train travels and will catch up to the local commuter
checking our answer
36mph*2.25hr = 81mph*1hr = 81mi