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SSC MTS 2021 · PYQ · Time and Work · medium

A can do a piece of work alone in 30 days. B is 25% less efficient than A. While C is 33⅓% more efficient than B. In how many days can A, B and C, working together, complete the work?

  1. A.140/11 days
  2. B.120/11 days✓ Correct
  3. C.130/11 days
  4. D.150/11 days

Explanation

A's efficiency = 100, B's = 75, C's = 75 × 4/3 = 100. Ratio A:B:C = 100:75:100 = 4:3:4. Work done by A in 30 days → LCM work = 120. Together = 120/11 days.
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