Multiple choice

Study the following information carefully and give the answer of the following questions. Train M of length 150 meters moving at 54 kmph and train U of length 250 metres moving at 90 kmph running on parallel track enter a 300-metre long tunnel at the same instant from opposite direction. How much percent speed of the faster train will be decreased so that they crossed the tunnel same time?

  1. 26(2/3)%

  2. 16(2/3)%

  3. 20(2/3)%

  4. 26%

  5. 18%
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A Correct answer
Explanation

For trains to exit simultaneously, their effective crossing times must equalize. With original speeds 54 and 90 kmph, times are 8.33s and 4.44s. Setting 300/(v+54) = 300/90 and solving gives new speed v = 66 kmph, requiring reduction of 24 kmph, which is 26(2/3)% of 90.

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