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In Mathematics / Middle School | 2014-10-02

A 12-gallon tank is filled with water at a rate of \(\frac{1}{4}\) gallon every 5 seconds.

It will take ____ minutes and ____ seconds to fill \(\frac{5}{6}\) of the tank.

Asked by jacobplaystv

Answer (2)

If a 12 gallon tank is filled with water at rate of 1/4 of the tank in 5 seconds, then it's filled with 3 gallons per 5 seconds (because 1/4 * 12 = 3). 5/6 of the tank is as much as 5/6 * 12 = 5 = 60/6 = 10 gallons.
If 3 gallons of the tank are filled in 5 seconds, then 10 gallons will be filled in (10 ÷ 3) * 5 = 3 1/3 * 5 = 16 2/3 seconds.
Answer: It will take 0 minutes and 16 2/3 seconds to fill 5/6 of the tank.
I hope that's what you meant :)

Answered by SlowZasob | 2024-06-10

It will take 3 minutes and 20 seconds to fill 6 5 ​ of a 12-gallon tank. This is calculated based on the filling rate of water into the tank. The process involved determining how many gallons correspond to 6 5 ​ of the tank and then calculating the time needed at the specified filling rate.
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Answered by SlowZasob | 2024-12-26