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A train of length 300 metres, travelling at a speed of 54 km/hr crosses a signal tower at a certain time. How much should its speed be increased so that it may take 5 seconds less than its usual time?


1. 5 m/sec
2. 10 m/sec
3. 16 m/sec
4. 25 m/sec

1 Answer

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Best answer
Correct Answer - Option 1 : 5 m/sec

Given,

Length of the train = 300 metres

Speed = 54 km/hr

Formula used:

Time taken = Distance/Speed

Calculation

Distance travelled to cross a signal tower = Length of the train

= 300 metres

Speed = 54 km/hr

= 54 × (5/18) m/sec

= 15 m/sec

Time taken = Distance/Speed

= 300/15

= 20 seconds

If train takes 5 sec less than its usual time, it will take 15 sec to cross the signal tower 

Speed = Distance/Time

= 300/15

= 20 m/sec

Increased speed = 20 - 15

= 5 m/sec

∴ Increased speed = 5 m/sec

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