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Two trains 121 m and 99 m in length are ...

Two trains 121 m and 99 m in length are running in opposite directions with velocities `40 km h^(-1)` and `32 km h^(-1)`. In what time they will completely cross each other?

A

9 s

B

11 s

C

13 s

D

15 s

Text Solution

Verified by Experts

The correct Answer is:
B

Here, `v_A = 40 km//h, v_B = - 32 ` km/h
Length of train A `l_A = 121 m `
Length of train B, `l_(B) = 99m `
Relative velocity of train A with respect to train B
`v_(AB) =v_(A) -v_B=40-(-32)=72km//h=72 xx5/18=20 m//s`
Total distance to be travelled by each train for completely crossing the other train = 121 + 99 = 220 m
`:.` Time taken each train to cross the other train `=220/20 =11s`
Hence , the two trains will cross each other in 11 s.
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