Question

5 masons built a wall in 2 days. If the wall has to be built in a single day, how many masons should be employed?

• A. 9 masons
• B. 12 masons
• C. 8 masons
• D. 10 masons

Answer 1

The correct option is D 10 masons

Given: A wall is built in 2 days by 5 masons.​

We know that lesser the number of days to build, more will be the number of masons required.​

So, Number of days $\propto \frac{1}{\text{Number of masons}}$

Let number of days be ‘d’ and number of masons be ‘m’​

Then, d is inversely proportional to m​

Therefore,​

$d_1{m}_1=d_2{m}_2$

Given​

$d_1=2$ days​

$m_1=5$ masons​

$d_2=1$ day​

$m_2=$ number of masons required​

$2\times 5=1\times m_2$

$=m_2=\frac{(2\times 5)}{1}=10$ masons​

Therefore, 10 masons should be employed to build a wall in a single day.​

​
Answer: (D) 10 masons​