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Question: A 100 m long train is moving with a uniform velocity of 45 km/hr. The time taken by the train to cro...

A 100 m long train is moving with a uniform velocity of 45 km/hr. The time taken by the train to cross a bridge of length 1 km is

A

58 s

B

68 s

C

78 s

D

88 s

Answer

88 s

Explanation

Solution

Length of train = 100 m

Velocity of train =45 km/hr=45×518=12.5 m/s= 45 \mathrm {~km} / \mathrm { hr } = 45 \times \frac { 5 } { 18 } = 12.5 \mathrm {~m} / \mathrm { s }

Length of bridge = 1 km = 1000 m

∴Total length covered by train = 1100 m

Time taken by train to cross the bridge =110012.5= \frac { 1100 } { 12.5 } = 88 sec