Math

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

  1. 👍 0
  2. 👎 0
  3. 👁 58
asked by Katie
  1. 4 x 6 = 24
    4 + 6 = 10

    24/10 = 2.4 hours

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

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

    asked by Becky on November 16, 2008
  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? This the ans 2 hours and 24 minutes but how did they work it out?

    asked by Zac on January 26, 2011
  3. 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? the answer is 2 hrs and 24 min. How did they come up with that?

    asked by Kaley on March 16, 2009
  4. math

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

    asked by Becky on November 16, 2008
  5. 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?

    asked by kimnlesc on March 17, 2010
  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?

    asked by Zac on January 26, 2011
  7. 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?

    asked by thommini on February 19, 2010
  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?

    asked by frank on September 11, 2008
  9. 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? > I know the answer, but I do not know what is the name of the methods. EX: 1/n=

    asked by Mohammed on October 4, 2015
  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 for them to paint the house together?

    asked by Britanny on December 5, 2008

More Similar Questions