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A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in:
  • a)
    5 days
  • b)
    6 days
  • c)
    10 days
  • d)
    21/2 days
Correct answer is option 'C'. Can you explain this answer?
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A can finish a work in 24 days, B in 9 days and C in 12 days. B and C ...
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A can finish a work in 24 days, B in 9 days and C in 12 days. B and C ...
Given information:
- A can finish a work in 24 days.
- B can finish the same work in 9 days.
- C can finish the same work in 12 days.
- B and C start the work but are forced to leave after 3 days.

Calculating the work done by B and C:
- B can finish the work in 9 days, so in 1 day, B completes 1/9th of the work.
- Similarly, C can finish the work in 12 days, so in 1 day, C completes 1/12th of the work.
- B and C together complete (1/9 + 1/12) = 7/36th of the work in 1 day.
- In 3 days, they would have completed (3 * 7/36) = 7/12th of the work.

Calculating the remaining work:
- Since B and C completed 7/12th of the work, the remaining work is (1 - 7/12) = 5/12th of the total work.

Calculating the time taken by A to complete the remaining work:
- A can finish the work in 24 days, so in 1 day, A completes 1/24th of the work.
- Therefore, A will complete the remaining work (5/12th) in (5/12 * 24) = 10 days.

Therefore, the remaining work was done by A in 10 days, which corresponds to option C.
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A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in:a)5 daysb)6 daysc)10 daysd)21/2 daysCorrect answer is option 'C'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in:a)5 daysb)6 daysc)10 daysd)21/2 daysCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in:a)5 daysb)6 daysc)10 daysd)21/2 daysCorrect answer is option 'C'. Can you explain this answer?.
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