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A and B together can complete a work in 24 days. B alone does 1/3rd part of this work in 12 days. How many days will A alone take to complete the remaining work?
  • a)
    24
  • b)
    36
  • c)
    72
  • d)
    48
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A and B together can complete a work in 24 days. B alone does 1/3rd pa...
Work done by B in one day = (1/3)/12 = 1/36
Work done by both A and B in one day = 1/24
Work done by A in one day = (1/24) – (1/36) = 1/72
Time taken by A alone to complete the work = 1/(1/72) = 72 days
∴ Time taken by A alone to complete the work = 72 days
Remaining work = 1 - 1/3 = 2/3
A alone take to complete the remaining work = 72 × (2/3) = 48 days
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A and B together can complete a work in 24 days. B alone does 1/3rd part of this work in 12 days. How many days will A alone take to complete the remaining work?a)24b)36c)72d)48Correct answer is option 'D'. Can you explain this answer?
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