Question

a job can be completed by 12 men in 12 days how many extra days will be needed to completed the job if 6 men leave after working for 6 days.

Answer 1

18 days... i think soo

Answer 2

12 men can complete in 12 days 1 work 1 man can complete in 1 day

$\frac{1}{12 \times 12}$part of the work.

∴ men can complete in 6 days

$\frac{6 \times 6}{12 \times 12} \: \: part \: \: of \: \: the \: \: work = \frac{1}{4} </p><p> th \: \: of \: \: the \: \: work$

Number of remaining men = 6

Remaining work = ¾ ∵ 12 men can complete 1 work in 12 days

6 men can ccomplete ¾ work in

$\frac{12 \times 12 \times 3}{6 \times 4 }$=18 days

∴ Number of extra days = 18 - 6 = 12 days