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Question

A can complete a work in 12 days, and B in 16 days. They work together for 3 days. How much work is left?

This question was previously asked in
SSC CPO 2025 Paper 1 Question Paper (9-Dec-2025) (Shift 2)
The correct answer is

\(\frac{9}{16}\)

A’s one-day work = \(\frac{1}{12}\), B’s one-day work = \(\frac{1}{16}\).

Together in one day = \(\frac{1}{12}+\frac{1}{16}=\frac{4+3}{48}=\frac{7}{48}\).

Work done in 3 days = \(3\times\frac{7}{48}=\frac{21}{48}=\frac{7}{16}\).

Work left = \(1-\frac{7}{16}=\frac{9}{16}\).

Hence, \(\frac{9}{16}\) of the work is left.

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Similar Questions

  1. A can do a piece of work in 20 days. He worked for 8 days. Then B alone finishes the remaining work in 12 days. In how many days can B complete the whole work alone?

  2. If A works twice as fast as B, and A can complete a task in 10 days, how many days will it take for B to complete the task?


Important Questions from Work Efficiency

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  2. 24 men and 12 women can do a piece of work in 30 days. In how many days can 12 men and 24 women do the same piece of work?

  3. A and B together can do a piece of work in 4 days, B and C can do it in 6 days, A and C can do it in 8 days. Then A, B and C together can do the same work in :-

  4. A can complete 50% of a work in 9 days and B can do 25% of the work in 9 days, if they work alone. If they work together then how much work (in percentage) can be completed in 6 days?

  5. A is thrice as good a workman as B. C alone takes 48 days to paint a house. All three A, B and C working together take 16 days to paint the house. It will take how many days for A alone to paint the house?

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