Multiple choice

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

  1. 10:30 am

  2. 10 am

  3. 9:30 am

  4. 9 am

  5. 11 am
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

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

AI explanation

From 7 a.m. to 8 a.m., the first train travels at 20 kmph for 1 hour, covering 20 km and reducing the remaining distance to 90 km. The second train starts at 8 a.m., and their relative speed is 20 plus 25, equaling 45 kmph. The time taken to meet after 8 a.m. is 90 km divided by 45 kmph, which equals 2 hours. Therefore, they meet at exactly 10 am.

Keep practicing — related questions