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SSC MTS Model Paper 2

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Question : 26 of 150

Marks: +1, -0

A train travelling at 48 km/hr crosses another

train, having half its length and travelling in

opposite direction at 42 km/ hr, in 12 seconds. It

also passes a railway platform in 45 seconds. The

length of the railway platform is:

200 m
300 m
350 m
400 m

Solution:

(4) Let the lengths of the trains be 2x & x m

Total distance = Relative speed × time

= 90 \times \frac{5}{18} \times 12 = 300 \text{m}

x + 2x = 300, x = 100

and

2x = 200

and it crosses the platform in 45 seconds,

∴ total distance covered in 45 seconds.

= 48 \times \frac{5}{18} \times 45 = 600 \text{m}

Length of platform = 600 – 200 = 400 m

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