NIELIT 2023 Feb Scientist D | Section D | Question: 99

Question

A contractor undertakes to build a wall in $50$ days. He employs $50$ people for the same. However, after $25$ days he finds that the work is only $40 \%$ complete. How many more men need to be employed to complete the work in time?

• A. $50$ men
• B. $75$ men
• C. $100$ men
• D. $25$ men

   

Answer 1

Work done = Number of people * Number of days * Work done per person per day

We know that the following information:

• Total work to be done = 100%
• Work done in 25 days = 40%
• Number of people employed = 50
• Number of days left = 25

We need to find the number of people needed to complete the remaining work in 25 days.

First, we need to find the amount of work done per person per day:

Work done per person per day = (Work done in 25 days) / (Number of people employed * Number of days)

Work done per person per day = (40%) / (50 people * 25 days)

Work done per person per day = 0.0032

Now, we can use this information to find the number of people needed to complete the remaining work in 25 days:

Number of people needed = (Remaining work) / (Work done per person per day * Number of days)

Number of people needed = (100% - 40%) / (0.0032 * 25 days)

Number of people needed = 75

Therefore, the contractor needs to employ 25 more people to complete the work in time.

Answer: 25