Question

32 masons can build a wall in 9 days how many masons will complete the job in 24 days

Answer 1

In 9 days,wall can be built by 32 masons .
In 1 day , wall can be built by (32 × 9) masons.
In 24 days,wall can be built by (32 × 9)/24 masons.
= 12 masons.

Answer 2

Answer:

$12\:masons\: will \: complete \: \\the \: job \: in \: 24\: days$

Step-by-step explanation:

If number of masons decreases ,the time taken to build the wall increases in the same proportion.

Clearly , number of masons varies inversely to the number of days.

$So, \: here\\</p><p>\frac{x_{1}}{x_{2}}=\frac{y_{2}}{y_{1}}\\</p><p>x_{1}=32 \: masons ,\:\:y_{1}=9\:days\\</p><p>x_{2}=? \: masons ,\:\:y_{2}=24\:days$

$\implies \frac{32}{x_{2}}=\frac{9}{24}$

$\implies \frac{32\times 24}{9}=x_{2}$

$\implies 12 = x_{2}$

Therefore,.

$12\: masons \:will \: complete \: \\the \: job \: in \: 24\: days$

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