12 men can complete a work in 30 days by working 9 hours a day. What i

1.	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 ?
Answer» 12 men can complete a work in 30 days by working 9 hours a day. \(\therefore\) 1 man can complete a work in 1 day by working (12 × 30 × 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 \(\frac{X\times24\times5}{10}\) hours \(\therefore\) 12 × 30 × 9 = \(\frac{X\times24\times5}{10}\) \(\Rightarrow\) x = 270 men.

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 ?

Answer»

12 men can complete a work in 30 days by working 9 hours a day.

\(\therefore\) 1 man can complete a work in 1 day by working (12 × 30 × 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 \(\frac{X\times24\times5}{10}\) hours

\(\therefore\) 12 × 30 × 9 = \(\frac{X\times24\times5}{10}\) \(\Rightarrow\) x = 270 men.