Question

Tap A can fill a Tank in 8 Hours and Tap B can empty the Tank in 12 Hours. The time taken to fill the empty Tank if both of them are opened together is.....

Answer 1

$\huge{\orange{\underline{\underline{\bf{SoluTion:}}}}}$

Given,

Tap A can fill 1 tank in 8 hours

Tap A fills in 1 hour = $\frac{1}{8}$ tank

Tap B can empty 1 tank in 12 hours.

Tap B empties in 1 hour= $\frac{1}{12}$ tank

Both taps will fill in 1 hour

➝ $\tt{(\frac{1}{8} - \frac{1}{12})}$ tank

➝ $\tt{\frac{(3-2)}{24}}$

➝ $\tt{\frac{1}{24}}$

$\pink{\underline{\bf{Required\;AnSweR:}}}$

Hence, the tank will be filled completely in $\fbox\red{\sf{24\;hours}}$

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