Multiple choice

After how many time train A and train B meet to each other. Statement I: Train A from point P and train B from point Q started travelling towards each other at 6:00am and 7:30 am respectively and reaches their destination point Q at 12:20pm and point P at 03:06pm resp. Statement II: Speed of train A is 10km/h more than speed of train B. Statement III: length of train A is 100m more than length of train B.

  1. I and either II or III

  2. I and II

  3. III and either I or II

  4. II and III

  5. only I
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

From Statement I: Train A travels from 6:00 AM to 12:20 PM (6h 20m = 19/3 hours). Train B travels from 7:30 AM to 3:06 PM (7h 36m = 19/3 hours). Both take the same time, so if speeds are v_A and v_B with distance d, then d/v_A = d/v_B, meaning v_A = v_B. When both move toward each other starting at 7:30 AM, relative speed = 2v and they meet when combined distance = d, which happens at time t such that 2vt = d. Since d = v × 19/3, meeting time = 19/6 hours after 7:30 AM. Statement I alone is sufficient.

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