Multiple choice

Two trains A and B started at the same time from Delhi with the speeds of 60 km/h and 80 km/h, respectively. They did not stop anywhere up to Kanpur. Train 'A' reached Kanpur 40 minutes after train 'B' reached. What is the distance between Delhi and Kanpur?

  1. 120 km

  2. 140 km

  3. 160 km

  4. 180 km

  5. 200 km
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let distance be D. Time for A = D/60, time for B = D/80. Difference = 40 minutes = 2/3 hours. D/60 - D/80 = 2/3. (4D - 3D)/240 = 2/3. D/240 = 2/3. D = 160 km.

AI explanation

Since the distance is the same for both trains, using the constant distance rule, the ratio of the times taken by trains A and B is inversely proportional to their speeds, giving a time ratio of 80 to 60 or 4 to 3. The time difference is given as 40 minutes, which corresponds to 1 part in the ratio (4 minus 3). Train A takes 4 parts, meaning it takes 160 minutes to reach Kanpur. Calculating the distance at 60 km/h for 160/60 hours gives a distance of 160 km.

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