Question

if 5 men can build a wall in 6 days in how many days 10 men will do it?is this inverse proportion or direct proportion​

Answer 1

${\large{\bf{\underline{\underline{Required\:Solution:-}}}}}$

• We would use the unitary method to solve this question.

• Since , if more people are employed to do the work, it

will get finished earlier so, it is an inverse proportion.

• The number of men are inversely proportional to the number of days in which the work can be finished.

$\odot \sf \: 5 \: men \: can \: build \: the \: wall \: in \rightarrow \: 6 \: days \\ \\ \odot \sf \: 1 \: man \: can \: build \: the \: wall \: in \rightarrow \: 6 \times 5 \: days \\ \\ \odot \sf\: 10 \: men \: can \: build \: the \: wall \: in \rightarrow \: \frac{6 \times 5}{10} \: days \\ \\ \sf \: \rightarrow \: \frac{ \cancel{6} \times 5}{ \cancel{10}} \: days \\ \\ \rightarrow \sf \: \frac{3 \times \cancel5}{ \cancel5} \\ \\ \rightarrow \: \underline{\boxed{ \bf{ \pink{3 \: days}}}}$

So,

Final Answer :–

★ 10 men can do this work in 3 days. It is an inverse proportion.

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Answer 2

Answer:

${\large{\bf{\underline{\underline{Required\:Solution:-}}}}}$

• We would use the unitary method to solve this question.

• Since , if more people are employed to do the work, it

will get finished earlier so, it is an inverse proportion.

• The number of men are inversely proportional to the number of days in which the work can be finished.

$\begin{gathered} \\ \end{gathered}</p><p>\begin{gathered} \odot \sf \: 5 \: men \: can \: build \: the \: wall \: in \rightarrow \: 6 \: days \\ \\ \odot \sf \: 1 \: man \: can \: build \: the \: wall \: in \rightarrow \: 6 \times 5 \: days \\ \\ \odot \sf\: 10 \: men \: can \: build \: the \: wall \: in \rightarrow \: \frac{6 \times 5}{10} \: days \\ \\ \sf \: \rightarrow \: \frac{ \cancel{6} \times 5}{ \cancel{10}} \: days \\ \\ \rightarrow \sf \: \frac{3 \times \cancel5}{ \cancel5} \\ \\ \rightarrow \:\underline{\boxed{ \bf{ \pink{3 \: days}}}}\end{gathered}$

So,

Final Answer :-

★ 10 men can do this work in 3 days. It is an inverse proportion.

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