Question

The work done by a woman in 8 hrs is equal to the work done by a man in 6 hrs and by a boy in 12hrs. If working 6 hrs 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 hrs per day?

• A.
• B.
  
• C.
  
• D.
  

Answer 1

The correct option is D


8W=6M=12B
12M+12W+12B
=12M+9M+6M=27M
Given, 9 men can complete the work working 1 hour per day in $6\times 6$ days.
$\therefore$ 27 men working 8 hours per day can complete the work in $\frac{6\times 6\times 9}{27\times 8}=1\frac{1}{2}days$