SOLUTION: please help me solve this problem: 1. working together two men can do a painting job in 20 days. working alone one man would take 9 days longer than the other to complete the job

Question 678789: please help me solve this problem:
1. working together two men can do a painting job in 20 days. working alone one man would take 9 days longer than the other to complete the job. how long would it take each separately?
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

Let
= number of days Painter can do the job
= number of days Painter can do the job
Working together,
............ equation 1
ASSUMING that it takes Painter more days to do the job alone than Painter , then

and substituting this into equation 1,

Multiplying both sides by ,
.......multiplying both sides by

Rearranging,

Factoring the above,

Solving for ,
and
and ignoring the negative root,

and solving for ,

ANSWER:
Painter can do the job alone in days
and
Painter can do the job alone in days.

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