30 men can do a piece of work in 16 days. How many men would be required to do the same work in 20 days ?

Answer:- 1

Explanation:-

Solution:

Let the required number of men be x
More days, Less men (Indirect proportion)

\begin{aligned} ∴ 20 : 16 :: 30 : x \\ \Leftrightarrow 20 x = 16 \times 30 \\ \Leftrightarrow x = (\frac{16 \times 30}{20}) \\ \Leftrightarrow x = 24 \end{aligned}

$\eqalign{ & \therefore {\text{ }}20:16::30:x \cr & \Leftrightarrow 20x = 16 \times 30 \cr & \Leftrightarrow x = \left( {\frac{{16 \times 30}}{{20}}} \right) \cr & \Leftrightarrow x = 24 \cr}$

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", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

Let the required number of men be x
More days, Less men (Indirect proportion)

\begin{aligned} ∴ 20 : 16 :: 30 : x \\ \Leftrightarrow 20 x = 16 \times 30 \\ \Leftrightarrow x = (\frac{16 \times 30}{20}) \\ \Leftrightarrow x = 24 \end{aligned}

$\eqalign{ & \therefore {\text{ }}20:16::30:x \cr & \Leftrightarrow 20x = 16 \times 30 \cr & \Leftrightarrow x = \left( {\frac{{16 \times 30}}{{20}}} \right) \cr & \Leftrightarrow x = 24 \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }