To fill a pool, Barb uses two hoses. The first hose is rated to fill the pool in 10 hours. The second hose is rated to fill it in 5 hours. If Barb adds a third hose that uses the slower rate, how long will it take to fill the pool?​

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi