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The work done by a woman in 8 hours is equal to the work done by a man in 6 hours and by a boy in 12 hours. If working 6 hours per day 9 men can complete a work in 6 days, then in how many days can 6 men, 6 women and 6 boy’s together finish the same work, working 8 hours per day

The work done by a woman in 8 hours is equal to the work done by a man in 6 hours and by a boy in 12 hours. If working 6 hours per day 9 men can complete a work in 6 days, then in how many days can 6 men, 6 women and 6 boy’s together finish the same work, working 8 hours per day Correct Answer 3 days

1 man done work in 6 × 6 × 9 hours

let us assume work will be completed in x days

Total hour taken by men = 6 × 8 × (x) × 1

Total hour taken by women = 6 × 8 × (x) × (6/8)

Total hour taken by boys = 6 × 8 × (x) × (6/12)

After equating hours then

⇒ 6 × 6 × 9 = 6 × 8 × (x) × (1 + 6/8 + 6/12)

⇒ x = 3

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