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SSC MTS 2018 · PYQ · Time and Distance · medium

A man goes from C to D at 40 km/h and he returns from D to C at x km/h. If the average speed of the man for the whole journey is 60 km/h, then what is the value of x?

  1. A.110
  2. B.80
  3. C.120✓ Correct
  4. D.100

Explanation

Average speed for round trip = 2ab/(a+b) = 60. So 2×40×x/(40+x) = 60. Solving: 80x = 2400+60x, 20x = 2400, x = 120.
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