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 A and B can do a work in 12 days, B and C in 15 days, C and A in 20 days. If A, B and C work together, they will complete the work in?

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 A and B can do a work in 12 days, B and C in 15 days, C and A in 20 days. If A, B and C work together, they will complete the work in?

A). 5 days

B). 7 5/6 days

C). 10 days

D). 15 2/3 days


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Answered by on | Votes 0 |

10 days



(A + B)'s 1 day work = 1/12;

(B + C)'s 1 day work = 1/15;

(A + C)'s 1 day work = 1/20

Adding, we get: 2(A + B + C)'s 1 day work = (1/12 + 1/15 + 1/20) = 1/5

(A + B + C)'s 1 day work = 1/10

So, A, B and C together can complete the work in 10 days.

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