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A 130 m long train crosses a 70 m long tunnel in 20 seconds. Find the time taken by the train to cover a distance of 540 km.
1. 12 hours
2. 15 hours
3. 18 hours
4. 13 hours

1 Answer

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Correct Answer - Option 2 : 15 hours

Given: 

A 130 m long train crosses a 70 m long tunnel in 20 seconds. 

Formula Used: 

Time = Distance / Speed = [Length of train + Length of Tunnel] / Relative Speed

And Relative Speed (RS) = Speed of train + Speed of tunnel

Calculation:

RS = Speed of train (∵ Speed of tunnel = 0)

Time = [Length of faster train + Length of tunnel] / Relative Speed

⇒ 20 = [130 + 70] / Speed of train

⇒ Speed of train = 10 m/s = 10 × 18/5 km/h = 36 km/h

Time taken by the train to cover the distance of 540 km is 540km / 36 kmph

⇒ 15 hours.

∴ The required time is 15 hours.

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