SOLUTION: Workkng alone Carrie can paint a house in 3 hours less than Walter. Together Carrie and Walter an paint a house in 8 hours. How long does it take Walter to paint a house?

Question 614356: Workkng alone Carrie can paint a house in 3 hours less than Walter. Together Carrie and Walter an paint a house in 8 hours. How long does it take Walter to paint a house?
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
Walter can paint the house in w hours; Carrie in w-3 hrs.
1/w the amt. walt does in 1 hr.; 1/(w-3) carrie does in 1 hr.
1/w + 1/(w-3) = 1/8 together in 1 hr.
8(w-3)+8w=w(w-3)
8w-24+8w=w^2-3w
w^2-19w+24=0 Quadratic formula
w=17.6 hrs
.
Ed
RELATED QUESTIONS
working alone, Carrie can paint a house in three hours less than water. Together Carrie... (answered by josmiceli)

Working alone, Colleen can paint a house in 2 hr. less than James. Working together, they (answered by stanbon)

Working alone, Steve can paint a house in 2 hours less than Gary. Working together, they... (answered by stanbon)

If Sally can paint a house in 4 hours and John can paint the same house in 6 hours, how... (answered by solver91311)

Fred can paint a house in 10 hours. Together, Pat and Fred can paint the house in 8... (answered by jorel1380,ankor@dixie-net.com)

Fred can paint a house in 10 hours. Together, Pat and Fred can paint the house in 8... (answered by stanbon)

carrie can inpsect a case of watches in 5 hours, james can inspect the same case in 3... (answered by jorel1380)

carrie can inpsect a case of watches in 5 hours, james can inspect the same case in 3... (answered by Edwin McCravy,robertb)

Tom and Jack paint a house. Working together they can paint the house in 2/3 of the time (answered by ankor@dixie-net.com)