If 12 men or 20 women or 36 children can do a work in 12 months, then 5 men, 10 women and 15 children can do half of the work in

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If 12 men or 20 women or 36 children can do a work in 12 months, then 5 men, 10 women and 15 children can do half of the work in

Asked on 2019-07-17 12:40:37 by Guest | Votes 0 | Views: 109 | Tags: time and work | quantitative aptitude | Add Bounty

If 12 men or 20 women or 36 children can do a work in 12 months, then 5 men, 10 women and 15 children can do half of the work in

1). 11/2 months
2). 4 months
3). 9 months
4). 9/2 months

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1 answers

3 vote

Answered by Guest on 2019-07-17 12:41:11 | Votes 3 | #

12 men complete the work in 12 months

∴ 1 man can complete the work in 12 × 12 = 144 months

∴ Work done by one man in one month = 1/144

20 women complete the work in 12 months

∴ 1 woman can complete the work in 12 × 20 = 240 months

∴ Work done by 1 woman in 1 month = 1/240

36 children can complete the work in 12 months

∴ 1 child can complete the work in 12 × 36 = 432 months

∴ Work done by 1 child in 1 month = 1/432

Let ‘x’ be the number of months required by 5 men, 10 women and 15 children to complete the half work

∴ x × (5/144 + 10/240 + 15/432) = 1/2

∴ x/9 = ½

∴ x = 4.5 months

∴ 5 men 10 women and 15 children can complete the work in 4.5 months

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