Help Josh and Zach are painting a dog house. If Josh painted the house on his own,
it would take him 6 hours. If Zach painted the house on his own, it would take
him 4 hours. How long will it take them to paint it together?

5 I'm assuming

Step-by-step explanation:

6 + 4 = 10. Since there's 2 people you divide it by 2 so 5 hours.

5 hrs

Step-by-step explanation:

We need to take the average of time for both of them

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)