Multiple choice

Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?

  1. 9 a.m.

  2. 10 a.m.

  3. 10.30 a.m.

  4. 11 a.m.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

At 8 a.m., train A has traveled 20 km. Remaining distance = 110 - 20 = 90 km. Relative speed = 20 + 25 = 45 kmph. Time to meet = 90 / 45 = 2 hours. 8 a.m. + 2 hours = 10 a.m.

AI explanation

By 8 a.m., the first train has traveled for one hour, covering a distance of 20 km x 1 = 20 km, which reduces the remaining distance between the two trains to 110 km - 20 km = 90 km. From 8 a.m. onwards, the trains travel towards each other, so their relative speed is the sum of their speeds: 20 kmph + 25 kmph = 45 kmph. The time taken to meet is the remaining distance divided by the relative speed, which is 90 km / 45 kmph = 2 hours. Therefore, they meet at 8 a.m. + 2 hours = 10 a.m. The result is 10 a.m.

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