Question:medium

A and B are two railway stations 90 km apart. A train leaves A at 9:00 am, heading towards B at a speed of 40 km/hr. Another train leaves B at 10:30 am, heading towards A at a speed of 20 km/hr. The trains meet each other at

Updated On: Jan 15, 2026
  • 11 : 45 am
  • 10 : 45 am
  • 11 : 20 am
  • 11 : 00 am
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The Correct Option is D

Solution and Explanation

The problem requires calculating the meeting time of two trains. The solution proceeds in the following steps:
  1. Calculate initial head start: Train A departs at 9:00 am at 40 km/hr. By Train B's departure at 10:30 am, Train A has traveled for 1.5 hours.
    Distance covered by Train A = 40 km/hr × 1.5 hr = 60 km.
  2. Determine remaining distance: With a total station separation of 90 km, the distance remaining when Train B starts is 90 km - 60 km = 30 km.
  3. Calculate relative speed: Trains A and B approach each other at 40 km/hr and 20 km/hr respectively. Their combined speed is 40 km/hr + 20 km/hr = 60 km/hr.
  4. Calculate time to meet: Using the formula time = distance/speed,
    Time = 30 km / 60 km/hr = 0.5 hr = 30 minutes.
  5. Determine meeting time: Train B departs at 10:30 am and meets Train A after 30 minutes, resulting in a meeting time of 11:00 am.
The trains will meet at 11:00 am.
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