A train 180 m long moving at the speed of 20 m sec over takes a man moving at a speed of 10 m sec in...........

A train 180 m long moving at the speed of 20 m/sec over takes a man moving at a speed of 10 m/sec in the same direction. The train passes the man in

6 sec

9 sec

18 sec

27 sec

- To find how long the train takes to pass the man, we first calculate their relative speed.

- Both move in the same direction, so subtract man's speed from train's speed: 20 m/sec - 10 m/sec = 10 m/sec (relative speed).

- The train needs to cover its own length (180 m) to pass the man completely.

- Time taken = Distance / Relative Speed = 180 m / 10 m/sec = 18 seconds.

- Option 1: 6 sec — Too short, means the train would be 300 m long at this relative speed.

- Option 2: 9 sec — Still too quick, the train would have to be 90 m long.

- Option 3: 18 sec — This is correct; calculation matches.

- Option 4: 27 sec — Too long, would imply a much slower relative speed.

- So, the right answer is:

Option 3: 18 sec

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