Question 132283
If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?

Sally's time = 1/4

John's time = 1/6

together = 1/x

Solve for x.

1/4 + 1/6 = 1/x

5/12 = 1/x

Multiply both sides of the equation by the LCD, which is 12x

5/12 times 12x = 5x

1/x times 12x = 12

We now have a linear equation:

5x = 12

Divide both sides by 5 to find x.

x = 12/5

x = 2 hours and 40 minutes.

They should work together!