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 8 men can do a piece of work in 12 days. 4 women can do it in 48 days and 10 children can do it in 24 days. In how many days can 10 men, 4 women and 10 children together complete the piece of work?

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 8 men can do a piece of work in 12 days. 4 women can do it in 48 days and 10 children can do it in 24 days. In how many days can 10 men, 4 women and 10 children together complete the piece of work?

A). 5 days

B). 15 days

C). 28 days

D). 6 days


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Answered by on | Votes 0 |

6 days



1 man’s 1 day’s work = 1/8 × 12 = 1/96 
10 men’s 1 day’s work = 1 × 10/96  = 5/48 
1 woman’s 1 day’s work = 1/192 
4 women’s 1 day’s work = 1/192 × 4 = 1/48 
1 child’s 1 day’s work = 1/240 
10 children’s 1 day’s work = 1/24 
Therefore, (10 men + 4 women + 10 children)’s 1 day’s work = 5/48 + 1/48 + 1/24 

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