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Question : 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?

Option 1: 240 seconds

Option 2: 360 seconds

Option 3: 280 seconds

Option 4: 480 seconds


Team Careers360 3rd Jan, 2024
Answer (1)
Team Careers360 20th Jan, 2024

Correct Answer: 360 seconds


Solution : The speed of the 800-metre-long train = $\frac{800}{72}\ m/s$
The speed of the 1200-metre-long train = $\frac{1200}{72}\ m/s$
Relative speed of Train B with respect to Train A = $\frac{1200}{72}-\frac{800}{72}$
= $\frac{400}{72}\ m/s$
Total distance is 800 m + 1200 m = 2000 m
The time taken by Train B to cross Train A = $\frac{\text{Total distance}}{\text{Relative speed}}$
= $\frac{2000}{\frac{400}{72}}$
= 360
Hence, the correct answer is 360 seconds.

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