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Two water heater tanks are leaking.

Tank A has leaked \(\frac{1}{16}\) of a gallon in \(\frac{1}{12}\) minute, and Tank B has leaked \(\frac{3}{80}\) of a gallon in \(\frac{1}{30}\) minute.

Which tank is leaking faster?

Answer :

Given that Tank A has leaked 1/16 of a gallon in 1/12 minute, then in 1 minute, Tank A has leaked

[tex] \frac{1}{16} \div \frac{1}{12} = \frac{1}{16} \times12= \frac{3}{4} \ gallons[/tex]

Given that
Tank B has leaked 3/80 of a gallon in 1/30 minute, then in 1 minute, Tank A has leaked

[tex] \frac{3}{80} \div \frac{1}{30} = \frac{3}{80} \times30= \frac{9}{8} \ gallons.[/tex]

Thus, in 1 minute tank A has leaked less than 1 gallon while tank B has leaked more than 1 gallon.

Therefore, Tank B is leaking faster.

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