Question 57

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 12 men, 12 women and 12 boys together finish the same work, working 8 hours per day ?

Solution

Let men be M and boy be B and women be W.

6M=8F=12B

So,

3m =4f =6b    .....(1)
X =  12m+12f+12b ........(2)

On solving, we get

1m=2b 
1f=6/4b


So putting in equation 2, we get

X= 24b + 18b + 12b 

X = 54b

So, 9m *6 *6 = X * 8*D  (let D be the number of days)

54*6 * 2b =54b*8*D

D = 3/2 = 1.5 days 


Create a FREE account and get:

  • All Quant Formulas and shortcuts PDF
  • 40+ previous papers with solutions PDF
  • Top 500 MBA exam Solved Questions for Free

cracku

Boost your Prep!

Download App