# If Working 6 Hours per Day 9 Men can Complete a Work in 6 Days :

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

- 4/3 days
- 11/3 days
- 3/2 days
- None of these

**Answer: (3) 3/2 days**

**Explanation:-
**1 man done work = 6 x 6 x 9 hours

= 324 hours

let the number of days be = X

Total time taken by men=12 x 8 x X x 1

= 108 X nours

Total hour taken by women=12 x 8 x (6/8) X

= 72 X

Total time taken by boys=12 x 8 x (6/12)X

= 48 X

after equating hours then,

324 = 108 X + 72 X + 48 X

324 = X (108 + 74 + 48)

324 = 228 X

X = 324/228

X = 3/2 days

Hence, the answer is (3) 3/2 days.