Question

50 men complete a work in 60 days by working daily for 6 hours. Then in how many days
will 75 men do the work by engaging themselves 8 hours per day?


direct and indirect variation​

Answer 1

$\underline{\underline{\huge{\gray{\tt{\textbf Answer :-}}}}}$

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$\sf\large\bold{\orange{\underline{\blue{ Given :-}}}}$

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• 50 men complete a work in 60 days by working daily for 6 hours

• 75 men work daily for 8 hours

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$\sf\large\bold{\orange{\underline{\blue{ To \: Find :-}}}}$

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• Days required for 75 men to do the work by engaging themselves 8 hours per day

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$\sf\large\bold{\orange{\underline{\blue{ Solution :-}}}}$

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Let the number of days required for 75 men be "x"

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Case I [ With 50 men ]

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Firstly let us calculate the total work

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$\underline{\bold{\texttt{Total work :}}}$

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Number of days × Number of hours worked in 1 day × Number of men involved

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➜ 60 × 6 × 50

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➜ 300 × 60

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➜ 18000 units ⚊⚊⚊⚊ ⓵

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Case II [ With 75 men ]

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$\underline{\bold{\texttt{Total work :}}}$

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Number of days × Number of hours worked in 1 day × Number of men involved

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➜ x × 8 × 75

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➜ 600 × x

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➜ 600x units ⚊⚊⚊⚊ ⓶

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As in both cases the total work will remain same

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So ,

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Equation ⓵ = Equation ⓶

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➜ 600x = 18000

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➜ 6x = 180

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➨ x = 30

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• Hence 75 men working for 8 hours daily will complete the work in 30 days