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 A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together, they will complete the same work in:

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 A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together, they will complete the same work in:

A). 6 3/7 days

B). 5 3/7 days

C). 4 3/7 days

D). 3 3/7 days


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Answered by on | Votes 0 |

3 3/7 days



When A, B and C can do a work in x, y and z days respectively. Then, the three of them 

together can finish the work in xyz/ x y + y z + x z days

Therefore, the No. of days taken by them together = 24 × 6 × 12/24 × 6 + 6 × 12 + 24 × 12 

= 24 × 6 × 12/ 504 = 3 3/7 days.

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