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Q68 (CAPF/2024) Science & Technology › Basic Science (Physics, Chemistry, Biology) › Quantitative aptitude topics

A train travelling at a speed of 60 km/hr crosses a platform in 20 seconds. The same train crosses a person who is walking at a speed of 6 km/hr in the same direction as that of the train in 12 seconds. What is the length of the train and that of the platform, respectively?

Result
Your answer: —  Â·  Correct: C
Explanation

To find the train's length, we use the relative speed when it overtakes the person. The train's speed is 60 km/hr and the person's speed is 6 km/hr in the same direction, resulting in a relative speed of 54 km/hr (60 - 6). Converting this to m/s: 54 * (5/18) = 15 m/s. The train crosses the person in 12 seconds, so the train length is 15 m/s * 12 s = 180 m. Next, to find the platform length, we use the train's actual speed of 60 km/hr, which is 60 * (5/18) = 16.67 m/s. In 20 seconds, the train covers a total distance (train + platform) of 16.67 * 20 = 333.33 m. Subtracting the train's length (180 m) from the total distance gives the platform length: 333.33 - 180 = 153.33 m.

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