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?

  1. 4/3 days
  2. 11/3 days
  3. 3/2 days
  4. None of these
Anurag Mishra Professor Asked on 8th October 2015 in Maths.
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1 Answer(s)

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.

Anurag Mishra Professor Answered on 8th October 2015.
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