Question

fifteen worker's take 8 hours to build a wall. how many hours will 12 workers need to build the same wall? explanations​

Answer 1

$\large\underline{\sf{Solution}}$

$\large\underline{\sf{Given \: \rightarrow }}$

$\large\underline{\sf{15 \: workers \: take \: 8 \: hours \: to \: build}}$

$\large\underline{\sf{a \: wall}}$

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$\large\underline{\sf{to \: find \rightarrow}}$

$\large\underline{\sf{12 \: workers \: will \: take \: how \: much \: time}}$

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$\large\underline{\sf{we \: can \: notice \: that \: the \: work}}$

$\large\underline{\sf{is \: in \: inverse \: proportion.}}$

$\large\underline{\sf{where \: one \: unit \: is \: increasing}}$

$\large\underline{\sf{and \: the \: other \: is \: decreasing.}}$

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$\large\red{\sf{x_{1} \times y_{1} = x_{2} \times y_{2}}}$

$\large\red{\sf{ \implies \frac{ x_{1} \times y_{1}}{ x_{2}} = y_{2}}}$

$\large \red\implies \red{\sf{ \frac{15 \times 8}{12} }}$

$\large\red{\sf{ \implies10 \: days}}$

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