Question

in 14 days a piece of land is cultivated by 15 men how many men are required toginsh it in 10 days​

Answer 1

$\huge\color{goldenrod}{ \underline{\bf\color{lime}{Answer :-}}}$

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$\large\color{goldenrod}{\underline{\bf \color{silver}{Given :-}}}$

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• 15 men can cultivate a piece of land in 14 days

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$\large\color{goldenrod}{\underline{\bf \color{silver}{To \: Find :-}}}$

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• Men required to cultivate the same land in 10 days

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$\large\color{goldenrod}{\underline{\bf \color{silver}{Solution :-}}}$

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• Let the men required to cultivate the same land in 10 days be "x"

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$\underline \bold\color{tan}{According \: to \: the \ question :}$

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Total work = Men required × Days required

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Case I

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15 are required to complete the work in 14 days

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So,

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Total work = Men required × Days required

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➾ Total work = 15 × 14

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➾ Total work = 210 units ⚊⚊⚊⚊ ⓵

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Case II

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"x" men are required to complete the work in 10 days

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Total work = Men required × Days required

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➾ Total work = x × 10 units ⚊⚊⚊⚊ ⓶

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Equation ⓵ should be equal to equation ⓶

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So,

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➾ 210 = x × 10

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➾ $\sf x = \dfrac { 210 } { 10 }$

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➨ x = 21

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• Hence 21 men are needed to complete the work in 10 days

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