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Water flows from a faucet into a bathtub at a constant rate of 7 gallons of water pouring in every 2 minutes. The bathtub is initially empty and the plug is in. If the tub can hold 50 gallons of water, how long will it take to fill the tub? A. 14.26 minutesB. 14 minutesC. 7.14 minutesD. None of the aboveI would appreciate the help

Answer :

Answer:

D. None of the above (14.28 minutes)

Explanation:

If the rate is 7 gallons every 2 minutes, we can calculate the number of gallons in the tub after X minutes using the following equation:

[tex]G=\frac{7}{2}X[/tex]

Then, if the tub can hold 50 gallons, we can replace G by 50 as follows:

[tex]50=\frac{7}{2}X[/tex]

So, the number of minutes that the tub will take to fill can be found if we solve the equation for X. Then:

[tex]\begin{gathered} 50\cdot2=\frac{7}{2}X\cdot2 \\ 100=7X \\ \frac{100}{7}=\frac{7X}{7} \\ 14.28=X \end{gathered}[/tex]

Therefore, the correct answer is 14.28 minutes.

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