SOLUTION: It takes a hose 5 minutes to fill a rectangular aquarium 12 inches long, 13 inches wide, and 14 inches tall. How long will it take the same hose to fill an aquarium measuring 22 in

Algebra ->  Volume -> SOLUTION: It takes a hose 5 minutes to fill a rectangular aquarium 12 inches long, 13 inches wide, and 14 inches tall. How long will it take the same hose to fill an aquarium measuring 22 in      Log On


   

Question 1173939: It takes a hose 5 minutes to fill a rectangular aquarium 12 inches long, 13 inches wide, and 14 inches tall. How long will it take the same hose to fill an aquarium measuring 22 inches by 24 inches by 25 inches?
_____ mintues
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The fill rate for this hose from the source being used is %28%2812%2A13%2A14%29%2F5%29cubicinches_per_minute.

Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.

The volume of the 1st aquarium is   V%5B1%5D = 12*13*14 = 2184 cubic inches.


The volume of the 2nd aquarium is   V%5B2%5D = 22*24*25 = 13200 cubic inches.



Obviously, at the constant filling rate, the time to fill the volume is proportional to volume.


THEREFORE, you can write this proportion


    V%5B2%5D%2FV%5B1%5D = t%2F5,


where "t" is the unknown time filling 2nd aquarium.


From the proportion,


    t = %285%2AV%5B2%5D%29%2FV%5B1%5D = %285%2A13200%29%2F2184 = 30.22 minutes,  or about 30 minutes and 13 seconds.

Solved.