# A hose fills a hot tub at a rate of 4.74 gallons per minute. How many hours will it take to fill a 294-gallon hot tub?

1 answer

###### Question:

A hose fills a hot tub at a rate of 4.74 gallons per minute. How many hours will it take to fill a 294-gallon hot tub?

## Answers

so the hose can do 4.74 gallons in 1 minute, how many minutes will it take for 294 gallons?[tex]\bf \begin{array}{ccll} gallons&minutes\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 4.74&1\\ 294&m \end{array}\implies \cfrac{4.74}{294}=\cfrac{1}{m}\implies m=\cfrac{294\cdot 1}{4.74} \\\\\\ m\approx 62.0253164556962[/tex]and since there are 60 minutes in 1 hour, how many hours is that?[tex]\bf \begin{array}{ccll} hours&minutes\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 1&60\\ h&62.0253164556962 \end{array}\implies \cfrac{1}{h}=\cfrac{60}{62.0253164556962} \\\\\\ \cfrac{1\cdot 62.0253164556962}{60}\approx h[/tex]

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