Multiple choice

A train after travelling 50 km meet with an accident and then proceeds at 3/4th of its former speed and arrives at its destination 35 minutes late. Had an accident occurred 24 kms further, it would have reached destination only 25 minutes late. The speed of the train is ?

  1. 36 kmph

  2. 48 kmph

  3. 54 kmph

  4. 58 kmph
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let speed be v. Time saved by traveling 24km at 3/4v instead of v is 10 minutes (35 - 25). 24/(3v/4) - 24/v = 10/60. 32/v - 24/v = 1/6. 8/v = 1/6, so v = 48 kmph.

AI explanation

Let the original speed of the train be v and the remaining distance be y. The time difference between traveling 24 km at speed v versus (3/4)v is 10 minutes, since the 10-minute difference in total delay comes solely from this 24 km stretch. Setting up the equation 24/(3v/4) - 24/v = 10/60, we solve to find that the original speed is 48 kmph.

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