document.write( "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. \n" ); document.write( "
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in 1 hour
\n" ); document.write( "A makes 1/2 pen
\n" ); document.write( "B makes 1/3 pen
\n" ); document.write( "C makes 1/4 pen
\n" ); document.write( "in x hours, A makes x/2, B makes x/3 and C makes x/4 pens
\n" ); document.write( "In x hours, 13x/12 pens are made, x((1/2)+(1/3)+(1/4))
\n" ); document.write( "if 13x/12=100
\n" ); document.write( "13x=1200
\n" ); document.write( "x=92.3 pens.
\n" ); document.write( "There can't be fractional pens, so look at 92 hours first
\n" ); document.write( "A will make 46 pens completely and no more
\n" ); document.write( "B will make 30 pens and is part way through the 31st.
\n" ); document.write( "C will make 23 pens completely and no more
\n" ); document.write( "That is 99 pens.
\n" ); document.write( "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.
\n" ); document.write( "93 hours is 3 days and 21 hours. or 3 7/8 days.
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