I'm TRYING TO FIND THE ANSWER FOR B!!!
A. you have a large water spout that puts water into a pool, and there is a hose that you could use to help fill the pool. you wander how long it is going to take to fill the pool because you have plans with friends and you need to leave by 6:15 PM. you decide to time the water flow of the spout as it fills a 5 gallon bucket. You find that the spout takes 4 seconds to fill the bucket. The pool needs 20,000 gallons of water. How long will it take to fill the pool with the water spout? It is now 2:00 PM ; will you be able to leave by 6:15 PM?
B. If the hose can fill up the 5 gallon bucket in 35 seconds, will this be enough with the spout to fill the pool in time for you to leave at 6:15 PM?
A) 5 / 4 =1.25 gallons per second.
20,000 / 1.25 =16,000 seconds, 16,000/3,600 =4 hours, 26 minutes and 40 seconds to fill the pool
So, he will not be able to leave @ 6:15 PM. He will have to wait for another 11 minutes and 40 seconds.
B) I will assume that by 35 seconds, you mean 3.5 seconds?
5/3.5 =1 3/7 gallons per second
20,000 /(10/7) =20,000 x 7/10 =14,000 seconds=14,000/3,600 =3 hours and 57 minutes.
So, in this case, the pool would fill up by 5:57 PM. So, he could leave @ 6:15 PM.