Question

a and b can weed a certain field in6and12 hours respectively.working together in how many hours will they weed the field​

Answer 1

Answer:

dujdyiyytu the data and it is a computer and I are going to go to the bank to get

Answer 2

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

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

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• A can weed the field in 6 hours

• B can weed the field in 12 hours

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

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• Hours in which they can weed the field while working together

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

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• Let 'h' be the hours in which they can weed the field while working together

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$\underline{ \underline{\bold{\texttt{One hour work of 'a' :}}}}$

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: ➜ $\sf \dfrac { 1 } { 6 }$

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$\underline{ \underline{\bold{\texttt{One hour work of 'b' :}}}}$

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: ➜ $\sf \dfrac { 1 } {12 }$

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$\underline{ \underline{\bold{\texttt{One hour work when they work together :}}}}$

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: ➜ $\sf \dfrac { 1 } { 6 } + \dfrac { 1 } { 12 }$

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: ➜ $\sf \dfrac { 2 + 1 } { 12 }$

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: ➜ $\sf \dfrac { 3 } { 12 }$

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: ➜ $\sf \dfrac { 1 } { 4 }$

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$\underline{ \underline{\bold{\texttt{'h' hours work when they work together :}}}}$

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: ➜ $\sf \dfrac { 1 } { 4 } \times h$

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As we assumed that if they work together for 'h' hours then they would finish the weeding process

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So,

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: ➜ $\sf \dfrac { 1 } { 4 } \times h = 1$

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: ➜ 1 × h = 4 × 1

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: : ➨ h = 4

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• Hence they could weed the field in 4 hours while working together