Math problem I found in my mathbook: you have a pool; you want to fill it with water

[MathKindaCool]

I'm new to this forum, in fact, this is my first post.

so let us say,

you have a pool and you want to fill it with water.
you have two hoses, hose A, and hose B.
hose A can fill the pool within four hours.
If you have hose A and B at the same time, you will fill the pool within 3 hours.
how long would it take for hose B to fill the pool alone?

I have not solved this yet so I would love an answer down below, thanks.

 

[tkhunny]

This is a reasonable problem.

One hint, and then we need to see your work.

Fred can paint the house by himself in 12 hours.
In 1 hour, Fred can paint 1/12 of the house by himself.

End of hint.

Go!

 

[Steven G]

I'm new to this forum, in fact, this is my first post.

so let us say,

you have a pool and you want to fill it with water.
you have two hoses, hose A, and hose B.
hose A can fill the pool within four hours.
If you have hose A and B at the same time, you will fill the pool within 3 hours.
how long would it take for hose B to fill the pool alone?

I have not solved this yet so I would love an answer down below, thanks.

Another hint: Hose A can fill the pool within four hours. So what part of the pool can hose A fill in 3 hours? What part of the pool will be filled in 3 hours using both hoses? So what part of the pool does hose B fill in 3 hours?

If you can answer those questions above, then you should know how long it will take hose B alone to fill the pool.