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 A can do a piece of work in 4 hours; B and C together can do it in 3 hours, which A and C together can do it in 2 hours. How long will B alone take to do it?

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 A can do a piece of work in 4 hours; B and C together can do it in 3 hours, which A and C together can do it in 2 hours. How long will B alone take to do it?

A). 8 hours

B). 10 hours

C). 12 hours

D). 24 hours


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Answered by on | Votes 0 |

12 hours



A's 1 hour work = 1/4;

(B + C)'s 1 hour work = 1/3;

(A + C)'s 1 hour work = 1/2

(A + B + C)'s 1 hour work = (1/4 + 1/3) = 7/12

B's 1 hour work = (7/12 + 1/2) = 1/12

B alone will take 12 hours to do the work.

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