8 men can do a piece of work in 12 days. 4 women can do it in 48 days

1.	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?
Answer» 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

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?

Answer»

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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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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