SOLUTION: A,B,C have to supply an order of 100 pens. A,B,C make a pen in 2,3,4 hrs respectively. In how many days they will complete the work if each one make a complete pen himself without

Question 1074621: A,B,C have to supply an order of 100 pens. A,B,C make a pen in 2,3,4 hrs respectively. In how many days they will complete the work if each one make a complete pen himself without the help of others.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
in 1 hour
A makes 1/2 pen
B makes 1/3 pen
C makes 1/4 pen
in x hours, A makes x/2, B makes x/3 and C makes x/4 pens
In x hours, 13x/12 pens are made, x((1/2)+(1/3)+(1/4))
if 13x/12=100
13x=1200
x=92.3 pens.
There can't be fractional pens, so look at 92 hours first
A will make 46 pens completely and no more
B will make 30 pens and is part way through the 31st.
C will make 23 pens completely and no more
That is 99 pens.
In the 93rd hour, A will make another half pen and C another 1/4 pen, but B will finish the 31st pen, and there will be 100 pens.
93 hours is 3 days and 21 hours. or 3 7/8 days.
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