Question

If $16$ men can build a wall of $52$m long in $25$ days working for $8$ hours a day, in how many days can $64$ men build a similar wall of $260$m long working for $10$ hours a day?

• A. $35$
• B. $65$
• C. $40$
• D. $25$

Answer 1

Answer: (D)

$25$

$\text{Solve:- on considering first situation}$

$\text{no. of men}\left(m_1\right)=16$

$\text{no. of}\mathrm{days}\left(D_1\right)=25$

$\text{no. of hours work daily}=8\text{hours}$

$\text{- length of wall}=52m$

and in second case by using similar

notation we get,

$M_2=64D_2=?$

no. of hour $=10$ hours

length of wall $=260m$

We know that, no. of men $\alpha$ work

no. of hours $\alpha$ work

no. of days $\alpha$ work

$\text{So,}\frac{M_1\times D_1\times H_1}{l_1}=\frac{M_2\times D_2\times H_2}{l_2}$

$\Rightarrow \frac{16\times 25\times 8}{52}=\frac{64\times D_2\times 10}{260}$

$\Rightarrow D_2=25$ Days

$H_1,H_2$ Denotes hours in first and second

case. Similarly $l_1$ and $l_2$ represent length