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56 men can complete a piece of work in 24 days. In how many days can 42 men complete the same piece of work ?

118
232
348
498

Answer:- 1

Explanation:-

Solution:

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

\begin{aligned} ∴ 42 : 56 :: 24 : x \\ \Leftrightarrow 42 \times x = 56 \times 24 \\ \Leftrightarrow x = (\frac{56 \times 24}{42}) \\ \Leftrightarrow x = 32 \end{aligned}

$\eqalign{ & \therefore 42:56::24:x \cr & \Leftrightarrow 42 \times x = 56 \times 24 \cr & \Leftrightarrow x = \left( {\frac{{56 \times 24}}{{42}}} \right) \cr & \Leftrightarrow x = 32 \cr}$

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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 days be x
Less men, More days (Indirect proportion)

\begin{aligned} ∴ 42 : 56 :: 24 : x \\ \Leftrightarrow 42 \times x = 56 \times 24 \\ \Leftrightarrow x = (\frac{56 \times 24}{42}) \\ \Leftrightarrow x = 32 \end{aligned}

$\eqalign{ & \therefore 42:56::24:x \cr & \Leftrightarrow 42 \times x = 56 \times 24 \cr & \Leftrightarrow x = \left( {\frac{{56 \times 24}}{{42}}} \right) \cr & \Leftrightarrow x = 32 \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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