Question

it was calculated that 75 men could complete a piece of work in 20 days. when work was scheduled to commence, it was found necessary to send 25 men to another project. how much longer will it take to complete the work?

Answer 1

75 men × 20 = 25 men ×x days
x=60 day

Answer 2

50 mens will take 30 days to complete the work.

Step-by-step explanation:

Given:

• 75 men could complete a piece of work in 20 days.

$\rightarrow \: 75 \: mens \: \times 20 \: days \: = 100\% \\ \rightarrow \: 1 \: men = \frac{100}{75 \times 20} \\ \rightarrow \: 1 \: men = \frac{1}{15} \% \: per \: days \\ \rightarrow \: 25 \: men = \frac{5}{3} \% \: per \: days$

For 20 days, these 25 men works 33.33 % of work.

For 20 days, 50 remaining mens will complete the 66.67% of work.

$\rightarrow \: 1 \: men = \frac{1}{15} \% \: per \: days \\ \rightarrow \: 50 \: men =3.33\% \: per \: days$

These 50 mens will complete the remaining 33.33% work in 10 days.

Total days to complete the work is 30 days.