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?

Answer 1

So the hose can do 4.74 gallons in 1 minute, how many minutes will it take for 294 gallons?

$\bf \begin{array}{ccll} gallons&minutes\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 4.74&1\\ 294&m \end{array}\implies \cfrac{4.74}{294}=\cfrac{1}{m}\implies m=\cfrac{294\cdot 1}{4.74} \\\\\\ m\approx 62.0253164556962$

and since there are 60 minutes in 1 hour, how many hours is that?

$\bf \begin{array}{ccll} hours&minutes\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 1&60\\ h&62.0253164556962 \end{array}\implies \cfrac{1}{h}=\cfrac{60}{62.0253164556962} \\\\\\ \cfrac{1\cdot 62.0253164556962}{60}\approx h$