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Question

# The distance between two stations is 425 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.

A
57km/hr, 62km/hr
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B
65km/hr, 70km/hr
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C
75km/hr, 80km/hr
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D
85km/hr, 90km/hr
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Solution

## The correct option is A 75km/hr, 80km/hrtime t=2hr ; total distance =340 distance travel by both train =340−30=310kmlet speed of train x and x+5respectively.we know, speed =Distance Timedistance travel by train 1 in 2hr is S=2xdistance travel by train 2 in 2hr is S2=2(x+5)=2x+10distance travel by both the train in 2hr is S=2x+2x+10=4x+10=310x=75 km/hrx+5=75+5=80 km/hrhence,the speed of each train is 75 km/hr and 80 km/hr.

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