Multiple choice

A and B are two stations 390 km apart. A train starts from A at 10 am and travels towards B at 65 kmph. Another train starts from B at 11 am and travels towards A at 35 kmph. At what time do they meet?

  1. 3:15 pm

  2. 2:15 pm

  3. 4:15 pm

  4. 12:15 pm
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Train A starts at 10 am at 65 kmph. By 11 am, it has traveled 65 km. Remaining distance = 390 - 65 = 325 km. Relative speed = 65 + 35 = 100 kmph. Time to meet = 325 / 100 = 3.25 hours = 3 hours 15 minutes. 11 am + 3 hours 15 minutes = 2:15 pm.

AI explanation

By 11:00 am, the first train has travelled for one hour at 65 kmph, covering 65 km and reducing the remaining distance between the two stations to 325 km. From 11:00 am onwards, both trains travel towards each other, so their relative speed is the sum of their individual speeds: 65 kmph plus 35 kmph, which equals 100 kmph. The time it takes for them to meet is the remaining distance divided by their relative speed: 325 km / 100 kmph, which is 3.25 hours. Adding 3 hours and 15 minutes to the 11:00 am start time of the second train results in a meeting time of 2:15 pm.

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