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CAT 2025 Slot 1 · Quant · Time and Work · medium

A can complete a job in 18 days and B can complete the same job in 24 days. They start working together, but A leaves after 6 days. In how many more…

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A can complete a job in 18 days and B can complete the same job in 24 days. They start working together, but A leaves after 6 days. In how many more days will B alone finish the remaining work?
  1. A. 14
  2. B. 15
  3. C. 16
  4. D. 18
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Answer: (C) 16

A's 1-day rate = 1/18, B's = 1/24. Work done by A in 6 days = 6/18 = 1/3. Remaining work = 2/3. Time for B to finish 2/3 alone = (2/3)/(1/24) = 16 days. So B alone needs 16 more days after A leaves (total time from start would be 6+16 = 22 days).
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Original question written in the CAT 2025 Slot 1 pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake