# Math

posted by .

If Sally can paint a house in 4 hours, & John can paint the same house in 6 hours, how long will it take for both of them to paint the house together? '
I am having trouble remembering how to set up the equation?

Amount of work accomplished =
(Rate of work) x time

The rates of work are measured in houses per hour, and can be added for the two workers. Sally's rate is 1/4 house per hour. John's rate is 1/6 house per hour.

1 house = (1/6 + 1/4)* Time
Time = 1/(1/6 + 1/4) = 1/(2/12 + 3/12)
= 1/(5/12) = 12/5 hour = 2 2/5 hr
That is two hours and 24 minutes

## Similar Questions

1. ### Math

If Sally can paint a house in 4 hours, and John can paint the same house in 6 hours; how long will it take for both of them to paint the house together?
2. ### math

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?
3. ### math

I have trouble solving word problems. Can you tell me the best approach to solve this word problem?
4. ### math

I have trouble solving word problems. Can you help me solve this problem?
5. ### math

If Sally can paint a house in 4 hours, and John can paint the same house in 6 hours, how long will it take for both of them to paint the house?
6. ### math

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?
7. ### algebra

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?
8. ### math

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?
9. ### math

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?
10. ### math

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

More Similar Questions