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

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) (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







  

RELATED QUESTIONS

At 7:00 AM, a train leaves a station, traveling at 55 mph. At 7:30 AM, an express train... (answered by algebrahouse.com,josgarithmetic)
A train left a railroad station in N.Y. at 9:00 AM bound for Washington, D.C. traveling... (answered by stanbon)
A metra commuter train leaves Union Station in Chicago at 12 noon. Two hours later, an... (answered by checkley77)
the average speed of the local train is 10 miles per hour less than two-thirds the speed... (answered by josmiceli)
Can you please help me with this problem.  I am totally confused when it comes to D=RT... (answered by scott8148)
At 5:00 am a train leave a station and travels at a rate of 35 mph. At 7:00 am a second... (answered by drk)
At 8:00 am  a train leaves a station and travels at a rate of 43mph. At 9:00 am a second... (answered by solver91311)
at noon a train leaves washington d.c headed for charleston south carolina a distance of... (answered by solver91311,josmiceli)
At noon a train leaves Washington, D.C., headed for Charleston, South Carolina, a... (answered by mananth)