Multiple choice

A train 600 m long is running at the speed of 84 km/hr. If it crosses a tunnel in 2 min, then the length of the tunnel (in m) is

  1. 2600 m

  2. 2200 m

  3. 2626 m

  4. 2400 m

  5. None of these
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B Correct answer
Explanation

First, convert the speed of the train from km/hr to m/s, which gives 84 * (5/18) = 70/3 m/s. In 2 minutes (120 seconds), the total distance covered by the train is (70/3) * 120 = 2800 meters. Since this total distance is the sum of the train's length and the tunnel's length, the tunnel's length is 2800 - 600 = 2200 meters.

AI explanation

Using the formula for converting kilometers per hour to meters per second, the speed is 84 multiplied by 5 divided by 18, which equals 70 thirds meters per second. The total distance covered in 120 seconds is 120 multiplied by 70 thirds, yielding 2800 meters. Since the total distance is the sum of the train length and the tunnel length, the tunnel length is 2800 minus 600, which equals 2200 meters.

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