SOLUTION: A carpenter and a helper can do a certain job in 18 days. If the carpenter works 1.50 times as fast as the helper, how long would it take each, working alone, to do the job?

Question 1134635: A carpenter and a helper can do a certain job in 18 days. If the carpenter works 1.50 times as fast as the helper, how long would it take each, working alone, to do the job?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
carpenter and helper do 1/18 of the job in 1 day.
helper can do it in x days and does 1/x of it in 1 day
carpenter can do it in x/1.5 days and does 1/x/1.5 or 1.5/x of it in 1 day
so 1.5/x +1/x=1/18
multiply by 18x LCD whole thing
27+18=x=45
helper needs 45 days
carpenter needs 30 days
1/30+1/45=5/90=1/18 This is the right answer, because the helper does 0.02222 of the job per day and the carpenter does 1.5 of it or 0.033333.
That is 50% faster, and 18 days times the first is 0.40 and 18 days times the second is 0.60
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