Problems on Trains - Arithmetic Aptitude Questions and Answers

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A train travelling at 48 kmph completely crosses another train having half its length and travelling in opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in 45 seconds. The length of the platform is

400 m

450 m

560 m

600 m

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Answer : Option A

Explanation :

Let the length of the first train be x metres.

Then, the length of the second train is $(\frac { X} { 2 } ) metres$

Relative speed = (48 + 42) kmph = $(90\times\frac{5}{18})m/sec = 25m/sec$

$\frac{(X +\frac{X}{2})}{25}=12$ or $(\frac { 3X } { 2 } ) =300$ or X=200

Let the length of platform be y metres. Length of first train = 200 m.

Speed of the first train = $(48\times\frac{5}{18})m/sec$ = $(\frac { 40 } { 3 } ) m/sec$

$((200+y)\times\frac{3}{40})$ =45

600 + 3y = 1800

y = 400 m.

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