Question

It takes a hose 4 minutes to fill a rectangular aquarium 8 inches long, 9 inches wide, and 14 inches tall. How long will it take the same hose to fill an aquarium measuring 29 inches by 30 inches by 32 inches?

Answer 1

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Answer 2

Answer:

110 minutes

Step-by-step explanation:

This is a volume question where we find the volume of each aquarium and work out per minute rate, here we can either divide the time amount given for per volume of the smaller tank back into the volume of the larger aquarium

- or find per minute first as shown below and divide per minute into total volume.

v / u  = t  

where v is volume

where u is our multiplier  one part and time found ie) 1 minute)

where t is total time

Smaller Tank

Volume = 8 x 9 x 14 = 1008 inch cube

Per minute rate = 1008/4 = 252 inch p/m

Larger Tank

Volume 29 x 30 x 32 = 27840 inch cube

Total minutes  27840 / 252 = 110.476190476 = 110 minutes 28 seconds.

or 110.47 minutes to 2 dp.