Question

a pipe can fill the tank in 7 hours and pipe b can empty the tank in 8 hours how much time will the both take two to fill the tank​

Answer 1

$\huge{\blue{\bold{\underline{\underline{Answer :}}}}}$

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$\large\underline{\green{\bf Given :-}}$

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• Pipe "a" can fill the tank in 7 hours

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• Pipe "b" can empty the tank in 8 hours

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$\large\underline{\red{\bf To \: Find :-}}$

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• Time to fill the tank when both pipe are opened

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$\large\underline{\orange{\bf Solution :-}}$

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• Let the time taken to fill the tank when the two pips are opened be "x"

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$\underline{\bold{\texttt{Pipe "a" one hour work :}}}$

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➠ $\sf \dfrac { 1 } { 7 }$

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$\underline{\bold{\texttt{Pipe "b" one hour work :}}}$

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➠ $\sf \dfrac { 1 } { 8 }$

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$\underline{\bold{\texttt{Tank filled in one hour when both the pipe are opened :}}}$

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➜ $\sf \dfrac { 1 } { 7 } - \dfrac { 1 } { 8 }$

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➜ $\sf \dfrac { 8 - 7 } { 56 }$

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➜ $\sf \dfrac { 1 } { 56 }$

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As we assumed both pipe when opened can fill the tank in "x" hour

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So,

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➜ $\sf \dfrac { 1 } { 56 } × x = 1$

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➨ x = 56 hours

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• Hence time to fill the tank when both pipe are opened is 56 hours

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