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 The work done by a woman in 8 h is equal to the work done by a man in 6 h and by a boy in 12 h. If working 6 h per day 9 men can complete a work in 6 days, then in how many days can 12 men, 12 women and 12 boys together finish the same work, working 8 h per day?
  • a)
    days
  • b)
    days
  • c)
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The work done by a woman in 8 h is equal to the work done by a man in ...
Given, 8 Women = 6 Men = 12 Boys 
∴ 12 Men + 12 Women + 12 Boys = 12 Men + 9 Men + 6 Men = 27 Men We have, M= 9,D= 6, t= 6,w= 1 M= 27,D= ?,t= 8,w= 1
∴ M1D1t1w= M2D2t2w1 ⇒ 9 × 6 × 6 × 1 = 27 × D2 × 8 × 1 ⇒ D= 3/2 days or days
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The work done by a woman in 8 h is equal to the work done by a man in 6 h and by a boy in 12 h. If working 6 h per day 9 men can complete a work in 6 days, then in how many days can 12 men, 12 women and 12 boys together finish the same work, working 8 h per day?a)daysb)daysc)d)None of theseCorrect answer is option 'B'. Can you explain this answer?
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