A medium water hose can fill a pool in 30 minutes. A larger water hose can fill the same pool in 20 minutes. If both hoses are turned on at the same time, how long will it take to fill the pool?

What equation can be used to solve this work problem?
___________

How many minutes will it take both hoses to fill the pool?
____________

1 answer

The equation used to solve this work problem is:

1/30 + 1/20 = 1/x

Where x is the time in minutes it will take both hoses to fill the pool.

Solving for x:

1/30 + 1/20 = 1/x
(2/60) + (3/60) = 1/x
5/60 = 1/x

x = 60/5
x = 12

Therefore, it will take both hoses 12 minutes to fill the pool.