Question

9 labourers can complete the construction of a wall in 18 days. how many less days will 12 laboures take to complete the same wall?

Answer 1

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Answer 2

Answer:

$\red {Number \:of \: less \: days \: take \:to}$

$\red { complete \:the \: same \: wall }$

$\green {= 4\frac{1}{2}\:days }$

Step-by-step explanation:

If the number of lobourers increases ,the days taken to construction the wall decreases in same proportion.

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

$So\:here \: \frac{x_{1}}{x_{2}} = \frac{y_{2}}{y_{1}}$

$x_{1} = 9 \: labourers ,\: y_{1} = 18 \:days$

$x_{2} = 12 \: labourers ,\: y_{2} = \red {?} \:days$

$\implies \frac{9}{12} = \frac{y_{2}}{18}$

$\implies \frac{9\times 18}{12}= y_{2}$

$\implies y_{2} = 13\frac{1}{2} \:days$

$Number \:of \: less \: days \: take \:to\\complete \:the \: same \: wall\\=y_{1} - y_{2} \\= 18 - 13.5 \\= 4.5\:days$

Therefore.,

$\red {Number \:of \: less \: days \: take \:to}$

$\red { complete \:the \: same \: wall }$

$\green {= 4\frac{1}{2} \:days}$

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