One inlet pipe can fill an empty pool in 6 hours, and a drain can empty the pool in 8 hours. How long will it take the pipe to fill the pool if the drain is left open? Express your answer as a reduced fraction.

24 hours

Step-by-step explanation:

Let x represent the time required to fill both pipes if they are left open

1/6 + (-1/8)= 1/x

1/6 - 1/8= 1/x

Divide through by 48

48(1/6) -48(1/8) = 48(1/x)

8 - 6 = 48 x

2= 48/x

2x= 48

x= 48/2

x= 24

Hence it will take 24 hours to fill the pipe if the drain is left open

a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x2 = −1. because no real number satisfies this equation, i is called an imaginary number. has no real solution, since the square of a real number cannot be negative.