Time & distance

Quantitative Aptitude (MTS)

Title

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An 800-metre-long train can pass a stationary pole completely in 72 seconds. A 1200-metre-long train can also pass a

stationary pole completely in 72 seconds. If both the trains are running in the same direction, then the faster train, coming from

behind the slower train, can cross the slower train in how much time?

This questions was previously asked in

SSC MTS 25th July 2022 Shift-2

240 seconds

360 seconds

280 seconds

480 seconds

- Train Speed Calculation:

- 800-metre train speed = 800 metres / 72 seconds = 400/36 m/s.

- 1200-metre train speed = 1200 metres / 72 seconds = 600/36 m/s.

- Relative Speed:

- Find the difference: (600/36) - (400/36) = 200/36 m/s.

- Time to Cross Each Other:

- Total length to cross = 800 metres (slower train) + 1200 metres (faster train) = 2000 metres.

- Time = Total length / Relative speed = 2000 metres / (200/36) m/s = 2000 * 36 / 200 seconds = 360 seconds.

- Answer:

- The correct option is 2: 360 seconds.

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