Multiple choice

How long does a train $110 m$ long running at the rate of $36 km$ an hour take to cross a bridge $132 m$ in length?

  1. $24.2\ seconds$
  2. $2.42\ seconds$
  3. $242\ seconds$
  4. $26.6\ seconds$
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A Correct answer
Explanation

Total distance = 110 + 132 = 242 m. Speed = 36 km/hr = 36 * (5/18) = 10 m/s. Time = Distance / Speed = 242 / 10 = 24.2 seconds.

AI explanation

Using the formula for converting km/hr to m/s, we multiply 36 by 5/18 to get a speed of 10 m/s. The total distance the train must cover to cross the bridge is the sum of the train's length and the bridge's length, which is 110 m plus 132 m, equaling 242 m. Using the formula time equals distance divided by speed, we calculate 242 divided by 10, which gives a time of 24.2 seconds.

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