Question

it take 10 road workers 5 days to compelete a road repair when working 2 hours a day working at the same pace how many days will it take 2 people working 5 hours a day to finish it answer the question

Answer 1

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

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

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• 10 road workers 5 days to complete a road repair when working 2 hours a day

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

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• If 2 workers work for 5 hours a day then in how many days the work will be completed

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

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• Let "x" be the days in which 2 workers working for 5 hours day complete the work

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Let's calculate the total hours needed to complete the work

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Case I

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

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Workers × Days × Hours

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• Workers = 10

• Days = 5

• Hours = 2

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➜ 10 × 5 × 2

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➜ 10 × 10

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➜ 100 hours ⚊⚊⚊⚊ ⓵

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Case II

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

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Workers × Days × Hours

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• Workers = 2

• Days = x

• Hours = 5

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➜ 2 × x × 5

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➜ 10x hours ⚊⚊⚊⚊ ⓶

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As the total hours required to complete the road work will be same

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Thus ,

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Equation ⓵ = Equation ⓶

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➜ 100 = 10x

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➜ $\sf x = \dfrac { 100 } { 10 }$

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➨ x = 10

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• Hence 2 workers working for 5 hours a day can complete the work in 10 days

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