9 men working 6 hours a day can do a piece of work in 88 days. In how many days can 6 men working 8 hours a day do the same work?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 99
For the same work, the total man-hours stay the same: men \(\times\) hours per day \(\times\) days is fixed.
Man-hours needed \(=9\times6\times88=4752\)
Man-hours in one day with 6 men working 8 hours \(=6\times8=48\)
Days needed \(\displaystyle =\frac{4752}{48}=99\)
6 men working 8 hours a day finish the work in 99 days.