What is the time taken by a train of length 200 m travelling at a speed of 60 m / s to cross a person travelling at a speed of 36 kmph in the same direction?

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  1. 4 sec
  2. 5 sec
  3. 10 sec
  4. 11 sec

Answer (Detailed Solution Below)

Option 1 : 4 sec
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Detailed Solution

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Given:

Length of the train = 200m

Speed of train = 60 m/s

Speed of person = 36 km/h

Formula Used:

Speed = Distance ÷ Time

If two object travelling in same direction with speed S1 and speed S2, then Relative speed =  SS2

Calculation:

1 km/hr  =  5/18 m/s

So, the speed of the person in m/s = 36 × 5/18 m/s = 10m/s

Relative speed = 60m/s - 10m/s = 50m/s

\(t = \frac{200 \mathrm{m}} { 50 \mathrm{m/s}} = 4\) secs

Therefore, the time taken by the train to cross a person is 4 seconds.

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