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Question

# Two trains P and Q are moving along parallel tracks with same uniform speed of 20ms. The driver of train P decides to overtake train Q and accelerates his train by 1ms2. After 50s, train p crosses the engine of train Q. Find out what was the distance between the two trains initially provided the length of each train is 400m.

A
400m
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B
480m
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C
350m
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D
450m
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Solution

## The correct option is D 450mLet the initial distance between the two trains be distance travelled by train P in 50s. SP=ut+12at2 =20×50+121×502 SP=2250m u=20ms;a=1ms2;t=50s distance travelled by train Q in 50s SQ=Ut=20×50=1000m Extra distance which train P must cover to cross train Q=SP−SQ and this must be equal to initial distance between the trains plus the sum of the lengths of the two trains SP−SQ=S+2×400 2250−1000=S+800 S=450m

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