SOLUTION: I have been having problems with the following question: Stan can load his truck in 24 minutes. If his brother helps him, it takes them 15 minutes to load it. How long does it ta

Question 445103: I have been having problems with the following question:
Stan can load his truck in 24 minutes. If his brother helps him, it takes them 15 minutes to load it. How long does it take Stan's brother alone?
I have tried to make a chart (using work rate*time=work done) but all I could figure out was that Stan's work rate was 1/24. Please help.

Answer by checkley79(3341) (Show Source): You can put this solution on YOUR website!
(1/24)+(1/X)=1/15
(X+24)/24X=1/15
24X=15(X+24)
24X=15X+360
24X-15X=360
9X=360
X=360/9
X=40 MINUTES FOR THE BROTHER WORKING ALONE.
PROOF:
1/24+1/40=1/15
(40+24)/24*40=1/15
64/960=1/15
1/15=1/15
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