SOLUTION: If Sally can paint a house in 4 hours and John can paint the house in 6 hours. How long will it take them to paint the house together?

Algebra.Com
Question 5093: If Sally can paint a house in 4 hours and John can paint the house in 6 hours. How long will it take them to paint the house together?

Answer by rapaljer(4671)   (Show Source): You can put this solution on YOUR website!
If Sally can paint the house in 4 hours, then the part she can do in 1 hour is .

If John can paint the house in 6 hours, then the part he can do in 1 hour is .
Let x = the number of hours it takes them to paint the house together.
If together they can paint the house in "x" hours, then in 1 hour they can paint of the house.

The equation is "The part Sally can paint in 1 hour + the part that John can paint in 1 hour equals the part they can paint together in 1 hour."


Multiply both sides of the equation by the least common denominator which is .



hours or 2.4 hours.

R^2 at SCC


RELATED QUESTIONS

If Sally can paint a house in 4 hours and John can paint the same house in 6 hours. How... (answered by richwmiller,Earlsdon)
If Sally can paint a house in a 4 hours, and John can paint the same house in 6 hours,... (answered by richwmiller,Alan3354,Edwin McCravy)
If Sally can paint a house in 4 hours, and John can paint the same house in 6 hours, how... (answered by askmemath)
If Sally can paint a house in 4 hours, and John can paint the same house in 6 hours, how... (answered by Paul)
if sally can paint a house in 4 hours, and john can paint the same house in 6 hours how... (answered by AnlytcPhil)
If Sally can paint a house in 4 hours, and John can paint the same house in 6 hours, how... (answered by edjones)
If Sally can paint a house in 4 hours and John can paint the same house in 6 hours, how... (answered by solver91311,stanbon)
If Sally can paint a house in 4 hours, and John can paint the same house in 6 hours, how... (answered by checkley77)
if sally can paint a house in 4 hours, and john can paint the same house in 6 hours, how... (answered by nerdybill)