Question

A wall of 60 m long can be built by 36 men in 21 days. Number of men required to build the same wall in 14 days, is

• A. 50
• B. 52
• C. 54
• D. 56

Hint:

For constant work, use the relation: Men $\times$ Days = Constant.

Answer 1

The Correct Option is C

To solve this problem, we will use the concept of "man-days," which is a common term in work and time-related problems. The "man-days" refers to the product of the number of men and the number of days they work.

Let's break down the given information and find the solution step-by-step:

1. First, calculate the total amount of work in terms of man-days that 36 men complete in 21 days to build a 60 m wall.

\[ \text{Total work (man-days)} = \text{Number of men} \times \text{Number of days} = 36 \times 21 \]

2. Perform the multiplication to find the total work:

\[ \text{Total work} = 756 \text{ man-days} \]

3. Now, we want to find the number of men required to do the same amount of work (756 man-days) in 14 days.

\[ \text{Number of men required} = \frac{\text{Total work}}{\text{Number of days}} = \frac{756}{14} \]

4. Calculate the division to find the required number of men:

\[ \text{Number of men required} = 54 \]

Hence, 54 men are required to build the same wall in 14 days.

Therefore, the correct answer is 54.