Question

60 men can complete a piece of work in 40 days.60 men start the work but after every 5 days 5 people leave.in how many days will the work be completed?

Answer 1

52 days to complete the work

Answer 2

Answer:

The remaining work will be completed in 39 days

Step-by-step explanation:

60 men can complete a piece of work in 40 days

60 men 1 day work =$\frac{1}{40}$

60 men 5 days work =$\frac{5}{40}=\frac{1}{8}$

Remaining work =$1-\frac{1}{8}=\frac{7}{8}$

5 people leave now

Remaining people = 55

1 men 1 day work = $\frac{1}{60 \times 40}$

55 men 1 day work =  $\frac{1}{60 \times 40} \times 55$

                              = $\frac{11}{480}$

So, 55 men complete   $\frac{11}{480}$ part of work in days = 1

55 men complete whole  work in days = $\frac{1}{\frac{11}{480}}$

55 men complete  $\frac{7}{8}$ part of work in days:

= $\frac{1}{\frac{11}{480}} \times \frac{7}{8}$

= $38.18$

Hence the remaining work will be completed in 39 days