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A faucet is leaking 1 drop every 4 seconds. If 1 gallon is equal to 15,140 drops, which of the following lengths of time will it take for this faucet to leak 1 gallon of water?

A 16 hours, 49 minutes, 12 seconds.

First, convert 15,140 drops to seconds using the ratio given:
15,140 drops × \(\frac{4sec}{1drop}\) = 60,560 sec.
Now convert seconds to hours:
60,560 sec × \(\frac{1min}{60sec}\) × \(\frac{1hr}{60min}\) = 16.82 hr.
Convert the remainder of hours back to minutes and seconds:
0.82 hr. × \(\frac{60min}{1hr}\) = 49.2 min.
0.2 min × \(\frac{60sec}{1min}\) = 12 sec.
16 hours, 49 minutes, 12 seconds.

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