Multiple choice

A person is cycling parallel to a railway track at a speed of $10$ km/hr. A train travelling in the same direction at $46$ km/hr, passes him in $22$ sec. Find the length of the train .

  1. $120$ m
  2. $220$ m
  3. $150$ m
  4. $180$ m
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B Correct answer
Explanation

Relative speed = 46 - 10 = 36 km/hr = 36 * (5/18) = 10 m/s. Time = 22 sec. Length = Speed * Time = 10 * 22 = 220 m.

AI explanation

Using the relative speed formula for objects moving in the same direction, the relative speed is 46 km/hr minus 10 km/hr, which equals 36 km/hr. Converting this to meters per second gives 36 multiplied by 5/18, which equals 10 m/s. The length of the train is the relative speed multiplied by the time taken to pass the man, so 10 m/s multiplied by 22 seconds equals 220 m. The result is 220 m.

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