Answered

It takes a hose two minutes to fill rectangular aquarium 9 inches long 12 inches wide and 14 inches tall how long will it take the same hose to fill in aquarium measuring 27“ x 29“ x 35“



Answer :

jay40891

Answer:

36.25 minutes

Step-by-step explanation:

Total volume of the first rectangular aquarium

[tex]=(9)(12)(14)\\=1512 in^{3}[/tex]

Rate at which hose sprays water

[tex]=\frac{volume}{time}\\\\=\frac{1512}{2} \\\\=756 in^{3}/min[/tex]

Since the same hose is used for the second time, this rate of hose spray is the same too for the second aquarium.

Total volume of the second aquarium

[tex]=(27)(29)(35)\\=27405 in^{3}[/tex]

Hence, time taken to fill second aquarium

[tex]=\frac{volume}{rate} \\\\=\frac{27405}{756} \\\\=36.25min[/tex]

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