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?
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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
