SOLUTION: A freight train leaves a station traveling 60 miles per hour. Thirty minutes later a passenger train leaves the station in the same direction on a parallel track at a speed of 72 m

Question 230087: A freight train leaves a station traveling 60 miles per hour. Thirty minutes later a passenger train leaves the station in the same direction on a parallel track at a speed of 72 miles per hour. How long will it take the passenger train to catch the freight train?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
In 30 min, the freight train has gone:
mi
mi (it's headstart)
When the passenger train leaves the station, I start a stopwatch
and I'll stop it at time = when trains meet
Let = distance the passenger train has to
go to catch freight train
For passenger train:
(1)
For freight train:
(2)
Substitute (1) in (2)

The passenger train catches the freight train in 2.5 hrs
check:
(1)

mi
and
(2)

mi
OK
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