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

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) (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.
RELATED QUESTIONS
From a committee of10 people,in how many ways can we choose a chair,vice chair,and a... (answered by tanjo3)

Directions: Solve each problem. A furniture maker has a shop that can employ 12... (answered by ankor@dixie-net.com)

together richard and and his brother frank can paint a garage in 2 days. if richard works (answered by ptaylor)

The company newsletter needs to get out by the end of the workday. Karen can staple and... (answered by ankor@dixie-net.com)

The company newsletter needs to get out by the end of the workday. Karen can staple and... (answered by mananth)

Richard can complete 47 math problems in one minute. How many problems could he complete (answered by math_helper)

In how many ways can the eight members of a students’ council pose in a line for a... (answered by jim_thompson5910,ikleyn)

The executive committee of the student government consists of 10 members. In how many... (answered by stanbon)

A company makes 2 types of chairs: basic chair and a deluxe chair. In One day the company (answered by solver91311)