Multiple choice

A 100 m long train is moving with a uniform velocity of 45 km/hr. The time taken by the train to cross a bridge of length 1 km is:

  1. 58 s

  2. 68 s

  3. 78 s

  4. 88 s
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D Correct answer
Explanation

The total distance to cover is the length of the train plus the length of the bridge: 100 m + 1000 m = 1100 m. The speed is 45 km/hr, which is 45 * (5/18) = 12.5 m/s. Time = Distance / Speed = 1100 / 12.5 = 88 seconds.

AI explanation

The total distance the train needs to cover to completely cross the bridge is the sum of the train's length and the bridge's length, giving 100 m plus 1000 m equal to 1100 m. Converting the train's speed from kilometers per hour to meters per second gives 45 multiplied by (5 divided by 18), which equals 12.5 m/s. Using the time formula where time equals distance divided by speed, the time taken is 1100 m divided by 12.5 m/s, which results in 88 s.

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