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

A). 6 hours

B). 12 hours

C). 4 hours

D). 8 hours


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Answered by on | Votes 0 |

12 hours



A's 1 hour's work = 1/4 ;

(B + C)'s 1 hour's work = 1/3 ;

(A + C)'s 1 hour's work = 1/2 .

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

B's 1 hour's work = ( 7/12 - 1/2 ) = 1/12 .

Therefore B alone will take 12 hours to do the work.

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