The work done by a woman in 9 hours is equal to the work done by a man in 6 hours and by a boy in 10 hours. If working 7 hours per day 17 men can complete a work in 2 days, then in how many days can 15 men, 15 women and 15 boys together finish the same working 7 hours per day?

• answer is 1 day
• 5 years agoHelpfull: Yes(0) No(2)
• 17 men 7 hours 2 days
  1 man 1 hour = 1/238 work
  Now men 6 hour = women 9 hours
  So, men 1 hour = women 9/6 hours
  1 women 1 hour work = (1/238)*(6/9) = 1/357
  Similarly men 6 hour = boys 10 hour
  So, 1 boy 1 hour work = 3/1190
  Now, 15 men, 15 women and 15 boys ,
  (15/238)+(5/119)+(9/238) = 34/238 = 1/7 = 7 hours.
  Now, working 7 hours per day = 7/7 = 1 day(Ans)
• 4 years agoHelpfull: Yes(0) No(0)