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CDS 2023 · PYQ · Time and Work · medium

If A and B can finish a work in 10 days, B and C can finish the same work in 12 days, C and A can finish the same work in 15 days; then in how many days can A, B and C together finish half of the work?

  1. A.3 days
  2. B.4 days✓ Correct
  3. C.5 days
  4. D.8 days

Explanation

Sum of rates: 2(A+B+C) = 1/10 + 1/12 + 1/15 = 1/4, so A+B+C = 1/8 per day. Together they finish whole work in 8 days, so half in 4 days.
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