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How long does a train 153 meters long running at the rate of 90 kmph take to cross a bridge 622 meters in length?
1. 31 second
2. 29 second
3. 28 second
4. 30 second

1 Answer

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Best answer
Correct Answer - Option 1 : 31 second

Given:

The length of train = 153 m

The length of bridge = 622 m

Speed of train = 90 km/h

Formula used:

S = D/T

Where,

S = Speed 

D = Total distance

T = Time

Calculation:

According to the question:

Total distance = length of train + length of bridge

⇒ D = 153 + 622

⇒ D = 775 m

S = 90 km/h

⇒ S = 90 × (5/18) m/s

⇒ S = 25 m/s

Now, 

S = D/T

⇒ 25 = 775/T

⇒ T = 775/25

⇒ T = 31 second

∴ The time taken by train to cross the bridge is 31 second.

1) 1 km/h = (5/18) m/s

2) 1 m/s = (18/5) km/h

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