A train is travelling at 48 km hour completely crosses another train having half its length and trav...........

Quantitative Aptitude (CDS) Time & distance

A train is travelling at 48 km/hour completely crosses another train having half its length and travelling in opposite direction at 42 km/hour in 12 s. It also passes a railway platform in 45 s. What is the length of the platform?

600 m

400 m

300 m

200 m

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Explanation:

Speed of Train A =48×5 / 18=40 / 3 m/s
Speed of Train B =42×5 / 18=35 / 3 m/s
Let length of Train A = 2 x m
Length of Train B = x m
Total length = 2x + x = 3x m
Combined speed =40 / 3+35 / 3=75/3=25 m/s
As, distance = speed × time
3??=25×12
=> x = 25×123=100 m
Let length of platform = y m
According to question,
y+200=403×45
=> y=600−200=400 m
Hence option (2)