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) (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, in hrs, until the express train
overtakes the freight train.
Let = the distance the express train has to go
in km until they meet.
-------------
Equation for freight train:
(1)
Equation for express train:
(2)
---------------
Substitute (2) into (1)
(1)
(1)
(1)
The express train will overtake the freight train in 5 hrs
check answer:
(2)
(2)
and
(1)
(1)
(1)
OK
Answer by Alan3354(69443) (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?
-----------------
The express train is gaining of the freight at 30 km/hr (60 - 30)
150/30 = 5 hours
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