Question

10 men working 6 hours a day, can complete a work in 18 days. How many hours a day must 15 men work, to complete the same work in 12 days?

• A. 4
• B. 5
• C. 6
• D. 7

Answer 1

Answer: (C)

6

To complete the work in 18 days 10 men work 6 hours day
To complete the work in 18 days 1 man work (10 x 6) hours a day
To complete the work in day 1 man will work (6 x 10 x 18) hours in a day (less days, less men, more hours)
To complete the work in 1 day 15 men will work $\frac{(6\times 10\times 18)}{15}$ hours a day
$\therefore$ To complete the work in 12 days 15 men will work $\frac{6\times 10\times 18}{12\times 15}$ hours a day
(more days, more men, less hours) = 6 hours a day