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SSC MTS 2018 · PYQ · Time and Distance · medium

A train starts from A at 6 AM and reaches B at 11 AM on the same day. Another train starts from B at 8 AM and reaches A at 3 PM on the same day. At what time will the two trains have crossed each other?

  1. A.10:30 AM
  2. B.8:45 AM
  3. C.7:45 AM
  4. D.9:45 AM✓ Correct

Explanation

Train 1 takes 5 hours (A to B), Train 2 takes 7 hours (B to A). Let them meet t hours after 8 AM. Setting up: (2+t)/5 + t/7 = 1, solving gives t = 7/4 = 1 hr 45 min. Meeting time = 8 AM + 1:45 = 9:45 AM.
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