SOLUTION: Richard, Karen, and harold are carpenters. Richard can make one chair in one hour. Karen can make one chair in two hours. Harold can make one chair in three hours. If they work to

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Richard, Karen, and harold are carpenters. Richard can make one chair in one hour. Karen can make one chair in two hours. Harold can make one chair in three hours. If they work to      Log On

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Question 945274: Richard, Karen, and harold are carpenters. Richard can make one chair in one hour. Karen can make one chair in two hours. Harold can make one chair in three hours. If they work together, how long will it take to make 99 chairs? It is multiple choice :
A. 33 hours
B. 42 hours
C. 54 hours
D. 60 hours
E. None of these
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
Richard makes 1chair/1hour=1 chair/hr
Karen makes 1 chair/2hrs=1/2 chair/hr
Harold makes 1 chair/3hrs=1/3 chair/hr
Together they make (1+1/2+1/3) chairs/hr Find common denominator
1(6/6)+1/2(3/3)+1/3(2/2)=6/6+3/6+2/6=11/6 chairs/hr=1.83 chairs/hr
99 chairs/1.83 chairs/hour=54 hours
ANSWER C It takes the three together 54 hours to make 99 chairs.