SOLUTION: A freight train travelling at 30km/h is 150km ahead of an express train travelling 60km/h. In how many hours will the express train overtake the freight train?

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Question 683698: A freight train travelling at 30km/h is 150km ahead of an express train travelling 60km/h. In how many hours will the express train overtake the freight train?
Found 2 solutions by josmiceli, Alan3354:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Start a stopwatch when the express train leaves.
Now both will travel for the same amount
of time, +t+ in hrs, until the express train
overtakes the freight train.
Let +d+ = the distance the express train has to go
in km until they meet.
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Equation for freight train:
(1) +d+-+150+=+30t+
Equation for express train:
(2) +d+=+60t+
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Substitute (2) into (1)
(1) +60t+-+150+=+30t+
(1) +30t+=+150+
(1) +t+=+5+
The express train will overtake the freight train in 5 hrs
check answer:
(2) +d+=+60%2A5+
(2) +d+=+300+
and
(1) +d+-+150+=+30%2A5+
(1) +d+=+150+%2B+150+
(1) +d+=+300+
OK


Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A freight train travelling at 30km/h is 150km ahead of an express train travelling 60km/h. In how many hours will the express train overtake the freight train?
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The express train is gaining of the freight at 30 km/hr (60 - 30)
150/30 = 5 hours