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SSC MTS 2019 · PYQ · Time, Speed and Distance · medium

A man leaves from P at 6 am and reaches Q at 2 pm on the same day. Another man leaves Q at 8 am and reaches P at 3 pm on the same day. At what time do they meet?

  1. A.11 : 00 am
  2. B.11 : 46 am
  3. C.11 : 24 am
  4. D.10 : 48 am✓ Correct

Explanation

Let total distance = 56 units. First person's speed = 56/8 = 7, second person's speed = 56/7 = 8. They start towards each other at 8 am, relative speed = 15. Distance covered by first in 2 hrs = 14. Remaining = 42. Time to meet after 8 am = 42/15 = 2 hrs 48 min. Meeting time = 8:00 + 2:48 = 10:48 am.
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