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A tap can completely fill a water tank in 8 hours. The water tank has a hole in it through which the water leaks out. The leakage will cause the full water tank to get empty in 12 hours. How much time will it take for the tap the the tank completely with the hole?

116 hours
218 hours
324 hours
4None of these

Answer:- 1

Explanation:-

Solution:

\begin{aligned} Net part filled in 1 hour \\ = (\frac{1}{8} - \frac{1}{12}) = \frac{1}{24} \\ ∴ The tank will be filled in 24 hours \end{aligned}

$\eqalign{ & {\text{Net part filled in 1 hour}} \cr & {\text{ = }}\left( {\frac{1}{8} - \frac{1}{{12}}} \right) = \frac{1}{{24}} \cr & \therefore {\text{The tank will be filled in 24 hours}} \cr}$

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", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} Net part filled in 1 hour \\ = (\frac{1}{8} - \frac{1}{12}) = \frac{1}{24} \\ ∴ The tank will be filled in 24 hours \end{aligned}

$\eqalign{ & {\text{Net part filled in 1 hour}} \cr & {\text{ = }}\left( {\frac{1}{8} - \frac{1}{{12}}} \right) = \frac{1}{{24}} \cr & \therefore {\text{The tank will be filled in 24 hours}} \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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