SSC CHSL Model Paper 8

Question : 65 of 100

Marks: +1, -0

A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph, and passes them completely in 9 and 10 seconds respectively. The length of the train is:

45 m
50 m
54 m
72 m

Validate

Solution:

2 kmph =

5/9

m/sec
4 kmph =

10/9

m/sec
Let the length of the train be x metres and its speed by y m/sec.
Then,

(x/{y°-5/9})=9

and

(x/{y°-10/9})=10

∴ 9y – 5 = x and 10(9y – 10) = 9x
⇒ 9y – x = 5 and 90y – 9x = 100.
On solving, we get: x = 50
⇒ Length of the train is 50 m.

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