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30 men can complete a job in 40 days, then the time taken by 25 men to complete the job is (in days)

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answer is D.

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Detailed Solution

\begin{array}{l} M e n & x_{1} = 30 & x_{2} = 25 \\ D a y s & y_{1} = 40 & y_{2} = ? \end{array}

Men and Days are inversely proportion

$x_{1} \times y_{1} = x_{2} \times y_{2} \Rightarrow 30 \times 40 = 25 \times y_{2} \Rightarrow y_{2} = \frac{30 \times 40}{25} = 48$ days

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