Multiple choice

Two trains start from stations A and B and travel towards each other at speeds of 50 km./hr. and 60 km./hr. respectively. At the time of their meeting, the second train has travelled 120 km. more than the first. The distance between A and B is -

  1. 1200 km.

  2. 1440 km.

  3. 1320 km.

  4. 990 km.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

When trains meet, they travel for the same time. Let time = t hours. Distance by first train = 50t. Distance by second = 60t. Given: 60t = 50t + 120, so 10t = 120, giving t = 12 hours. Total distance = 50t + 60t = 110t = 110 × 12 = 1320 km. The speed difference of 10 km/hr covers the 120 km excess.

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