SSC CGL Tier II 1 Dec 2016 Paper 1

Question : 46 of 100

Marks: +1, -0

A train ‘B’ speeding with 100 kmph crosses another train C, running in the same direction, in 2 minutes. If the length of the train B and C be 150 metre and 250 metre respectively, what is the speed of the train C (in kmph)?

Validate

Solution:

(2) Let the speed of train C be x kmph.
∴ Relative speed of B = (100 – x ) kmph.
∴ Time taken in crossing

= { { \Length \of \both \trains }}/{ { \Relative \speed }}

⇒{2}/{60}= { ( {150+250}/{1000} )}/{100-x}

⇒{1}/{30}= {2}/{5(100-x)}

⇒{1}/{6}= {2}/{100-x}

⇒ 100-x=12

⇒ x=100-12=88 {kmph}

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