Next-door neighbors Bob and Jim use hoses from both houses to fill Bob's swimming pool. They know that it takes 12 h using both hoses. They also know that Bob's hose, used alone, takes 20% less time than Jim's hose alone. How much time is required to fill the pool by each hose alone?

Jim's hose: 27 hours.

Bob's hose: 21.6 hours.

Step-by-step explanation:

Let t represent hours taken by Jim's hose.

Part of pool filled by Jim's hose in 1 hour would be .

We have been given that Bob's hose, used alone, takes 20% less time than Jim's hose alone. This means that Bob's hose take will take 80% time of Jim's hose that is .

Part of pool filled by Bob's hose in 1 hour would be .

We are also told that it takes 12 hours using both hoses. Part of pool filled by both hoses in 1 hour would be .

Now, we will add rates of both hoses and equate with as:

Cross multiply:

Therefore, it will take 27 hours for Jim's hose to fill the pool alone.

Time take by Jim's hose alone: .

Therefore, it will take 21.6 hours for Bob's hose to fill the pool alone.

this might get deleted, sorry. it has to be an actual question. if you really wanted to give someone free points, ask a question like "why does the sky look blue, and the sun is yellow to our eyes? "

step-by-step explanation:

probably .5

i can on others if necessary.