1)

20 men can complete 1/3 rd of a work in 20 days .How many more men should be employed to finish the rest of the work in 25 more days ?


A) 10

B) 12

C) 15

D) 20

E) 22

Answer:

Option B

Explanation:

20 men, 20 days, $\frac{1}{3}$ work = $\frac{1}{20}\times\frac{1}{20}\times\frac{1}{3}$ $=\frac{1}{1200}$ the amount of the work one man does in each day.

To finish $\frac{2}{3}$ the work in 25 days is $\frac{2}{3}\times\frac{1}{25}$ $=\frac{2}{75}$ work needs to be done each day.

$\frac{n}{1200}=\frac{2}{75}$

$75n=2400$

$n=\frac{2400}{75}$ = 32 men.

Since you already have 20 men, you need to hire $12$ more to finish the job on time.