Time, Speed and Distance Actual Question in CMAT 2024 Slot - 1

· by CMATking

  1. QUESTION

A train travelling at 48 km/h completely crosses another train having half the length of first train and travelling in opposite direction at 42 km/h in 12 seconds. The train having speed 48 km/h also passes a railway platform in 45 seconds. What is the length of the platform?


A)600M
B)200M
C)400M
D)200M

Explanation

(C)

=400 m

The correct option is B 400 m

Let the length of first train be x metres.

Then, the length of second train is (x / 2) metres. Relative speed = (48+42) kmph

= (90 * 5/18) * m /sec=25 m/sec.

/(x + x/2)/25 = 12 OR (3x)/2 = 300

or x = 200

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

Speed of the first train

=(48x5/18)m/sec40/3 M/SEC

(200 + y) * 3/40 = 45

600 + 3y = 1800

y = 400m


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