The distance between two stations is 340 km. Two trains start simultaneously from these stations
on parallel tracks to cross each other. The speed of one of them is greater than that of the other
by 5 km/hr. If the distance between the two trains after 2 hours of their start is 30 km, find the
speed of each train.
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Answer:
Let r be the speed of first train.
And r+5 be the speed of other train.
The distance first train travels in 2 hours is =2r
The distance other train travels in 2 hours is (r+5)×2=2(r+5)
Now we know that the distance the first train travels (2r) plus the distance the other train travels 2(r+5) equals 340−30=310.
So, 2r+2(r+5)=310
⇒2r+2r+10=310
⇒4r=300
⇒r=75
Thus, speed of first train is 75 mph.
Therefore, the speed of other train is r+5=75+5=80 mph.
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