Multiple Choice Questions

A train P travelling at a speed of 15 m s is able to cross a platform of 200 meter length completely...........

Quantitative Aptitude (MTS) Time & distance

A train P travelling at a speed of 15 m/s is able to cross a platform of 200 meter length completely in 30 seconds.

Approximately how long will it take train P to cross a man who is coming towards the train on his bike at a speed of27 km/h?

[Note: Ignore the length of the bike.]

This questions was previously asked in

SSC MTS 14th July 2022 Shift-3

15 sec

11.1 sec

16.7 sec

18.3 sec

- Step 1: Calculate the length of train P.

- Train travels 15 m/s for 30 seconds to cross the platform.

- Distance covered = Speed × Time = 15 × 30 = 450 meters.

- Since platform length is 200 meters, Train length = 450 - 200 = 250 meters.

- Step 2: Convert bike's speed from km/h to m/s.

- Bike speed = 27 km/h = 27 × (1000/3600) = 7.5 m/s.

- Step 3: Calculate relative speed of train and bike.

- Both are moving towards each other. Relative speed = 15 + 7.5 = 22.5 m/s.

- Step 4: Calculate time taken for train to cross the man.

- Time = Train length / Relative speed = 250 / 22.5 ˜ 11.1 seconds.

- Correct Option: Option 2 - 11.1 sec.

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