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SSC MTS 2022 · PYQ · Time and Work · medium

A, B and C are Accountants. A alone can file a return in 6 hours and B alone can file the same return in 10 hours. All three together can do it in 3 hours. In what time will C alone file the same return?

  1. A.15 hours✓ Correct
  2. B.8 hours
  3. C.7 hours
  4. D.4 hours

Explanation

A's efficiency = 30/6 = 5 units/hr, B's = 30/10 = 3 units/hr. Together A+B+C = 30/3 = 10 units/hr. So C's efficiency = 10–5–3 = 2 units/hr. C alone takes 30/2 = 15 hours.
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