Question

12 men can complete a work in 30 days by working 9 hours a day. What is the number of men required to complete 10 times of this work in 24 days by working 5 hours a day ?

• A. 200
• B. 220
• C. 250
• D. 270

Answer 1

The correct option is D 270

12 men can complete a work in 30 days by working 9 hours a day
$\therefore$ 1 men can complete a work in 1 day by working (12 x 30 x 9) hours Let the number of men required be x
Then x men can complete 10 times the work in 24 days by working 5 hours a day
$\therefore$ 1 man can complete 1 work in 1 day by working $\frac{x\times 24\times 5}{10}$ hours
$\therefore 12\times 30\times 9=\frac{x\times 24\times 5}{10}\Rightarrow x=270$ men