SOLUTION: Andrew can paint the neighbors house 3 times as fast as Bailey. The year Andrew and Bailey worked together, it took them 7 days. How long would it take each to paint the house?

Question 200601: Andrew can paint the neighbors house 3 times as fast as Bailey. The year Andrew and Bailey worked together, it took them 7 days. How long would it take each to paint the house?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Andrew can paint the neighbors house 3 times as fast as Bailey.
The year Andrew and Bailey worked together, it took them 7 days.
How long would it take each to paint the house?
:
Let t = time required by A to do it alone
then
3t = time required by B to do it alone
:
Let the completed job = 1
:
+ = 1
Multiply equation by 3t to get rid of the denominators, results:
21 + 7 = 3t
28 = 3t
t =
t = 9 days, Andrew alone
then
3*9 = 28 days, Bailey alone
:
:
Check solution on calc using decimals
(7/9.33) + (7/28) = 1.00

RELATED QUESTIONS
andrew can paint the neighbors house 6 times as fast as bailey. The year andrew and... (answered by solver91311,josmiceli)

Andrew can paint the neighbors house 5 times as fast as Bailey. They year Andrew and... (answered by josgarithmetic,ikleyn)

andrew can paint the neighbors house 5 times as fast asn Bailey. the year andrew and... (answered by ankor@dixie-net.com)

Andrew can paint the neighbor's house 4 times as fast as Bailey. The year... (answered by stanbon,greenestamps,ikleyn)

andrew can paint the neighbor's house 2 times as fast as bailey. The year andrew and... (answered by josgarithmetic,MathTherapy)

Andrew can paint the neighbor's house 5 times as fast as Bailey. The year Andrew... (answered by stanbon)

andrew can paint the neighbor's house 3 times as fast as bailey. atahe year Andre and... (answered by richwmiller)

andrew can paint the neighbor's house 6 times as fast a bailey. the year andrew and... (answered by htmentor)

andrew can paint the neighbor's house 3 times as fast as bailey. the year they worked... (answered by stanbon)