Inlet pipe #1 can fill a pool in 8 hours. Inlet pipes #1 and #2 together can fill the pool in 6 hours. How long will it take inlet pipe #2 to fill the pool by itself?

24hours

Step-by-step explanation:

We list the conditions as A and B

a. If inlet pipe #1 will fill the pool in 8 hours, the the portion of the pool that will be filled in one hour by inlet pipe 1 = 1/8.

b. If inlet pipe #1 and #2 will fill the pool in 6 hours, then the portion of the pool that inlets pipe #1 and #2 combined will fill in one hour = 1/6.

Now to get the portion of the pool that will be filled in one hour if only inlet #2 is running becomes:

condition b - condition a

= 1/6 - 1/8

= 2/48

= 1/24.

Since 1/24 is the portion of the pool that will be filled in one hour, then it will take 24hours for inlet #2 alone to fill the entire pool.