SOLUTION: if sally paints a house in 4 hours and john can paint it in 6 hours, how long will it take them to paint the house together. the answer is 2 hours and 24 min but i dont understand

Algebra ->  Expressions -> SOLUTION: if sally paints a house in 4 hours and john can paint it in 6 hours, how long will it take them to paint the house together. the answer is 2 hours and 24 min but i dont understand       Log On


   



Question 391142: if sally paints a house in 4 hours and john can paint it in 6 hours, how long will it take them to paint the house together. the answer is 2 hours and 24 min but i dont understand how they got it. please break down the problem . thank you
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
if sally paints a house in 4 hours and john can paint it in 6 hours, how long will it take them to paint the house together. the answer is 2 hours and 24 min but i dont understand how they got it. please break down the problem . thank you
...
Sally 4 hours -------- 1 job
1/4 of the job in 1 hour.
...
John 6 hours ------------1 job
1/6 of the job in 1 hour
..
Together they do 1%2F4+%2B+1%2F6 of the job in 1 hour
=5%2F12 of the job in 1 hour.
So they will together do the job in 12%2F5hours
= 2.4 hours
= 2 hours +0.4*60minutes
=2hours + 24 minutes
2 hours 24 minutes
...
m.ananth@hotmail.ca