Answer: 43.58 min
Explanation:
Knowing the volume of a rectangular object is length x width x height, we have two volumes:
[tex]V_{1}=(9 in)(13 in)(14 in)=1638 in^{3}[/tex]
[tex]V_{2}=(21 in)(25 in)(34 in)=17850 in^{3}[/tex]
And we know it takes a time of 4 minutes to fill [tex]V_{1}[/tex].
If we want to know how long will it take the same hose to fill another tank with volume [tex]V_{2}[/tex], we can use the Rule of three, which is a mathematical rule to find out an amount that is with another quantity given in the same relation as other two also known:
[tex]1638in^{3}[/tex] ---- [tex]4min[/tex]
[tex]17850in^{3}[/tex] ---- [tex]?[/tex]
[tex]?=\frac{(17850 in^{3})(4min)}{1638 in^{3}}[/tex]
Finally:
[tex]?=43.58 min[/tex]
