Question

Water flows into a swimming pool at the rate of 5.94 gal/min.If the pool dimensions are 26.5 ft wide, 45.9 ft long and 16 ft deep, how long does it take to fill the pool? (1 gallon = 231 cubic inches). Answer in units of min

Answer 1

The time taken will be given by \[\frac{ volume of pool }{ flow rate }\]
but you need to take care to get the units correct

Answer 2

Thank you!

Answer 3

You're welcome, let me know if you work it out, see if I get the same answer

Answer 4

for clarification, once I get the volume would I then convert the volume to inches and THEN divide it by the the flow rate? (Please excuse my ignorance)

Answer 5

If you calculate the volume in cubic feet with the given numbers, you could convert that to cubic inches (multiply by 12x12x12).
Then convert the flow rate from gallons/min to cubic inches/min - the conversion factor for that is given in the question
Once that is done you can plug the numbers into the formula for the time taken

Answer 6

Ok! Would the answer be 0.77309895491?

Answer 7

That's not the answer that I have - 0.77 minutes would be about 46 seconds and that feels like too little time to fill a swimming pool with less than 6 gallons per minute, don't you think ?
My answer is a lot bigger.

Answer 8

ok! My new answer is.....245.089020071 :D

Answer 9

Still different to my answer
What do you have for the volume of the pool in cubic feet ?

Answer 10

in cubic feet I have 19,461.6

Answer 11

good, me too
now convert to cubic inches by multiplying by 12^3,( that's 12 cubed)
tell me what the pool volume is then in cubic inches

Answer 12

ok now I have 33,629,644.8 for the pool volume

Answer 13

Ok so THEN i divided by 1372.14 (my flow rate) and got 24508.9020071. :)

Answer 14

Yes ! that is pretty much what i have

Answer 15

It must be a big pool, or a slow water supply, that many minutes is about 17 days, i think it is the right answer to the problem though : )

Answer 16

haha! Thank you so much for your patience!

Answer 17

you're welcome