document.write( "Question 303078: Quinn can refinish hardwood floors four times as fast as Jack. They have to refinish 100 ft^2 of flooring. Working together, Quinn and Jack can finish the job in 3 hours. How long would it take each of them working alone? \n" ); document.write( "

Algebra.Com's Answer #217234 by mananth(16946) $\"\"$ $\"About$

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let jack do the job in x hours alone\r
\n" ); document.write( "\n" ); document.write( "he does 1/x of the job in 1 hour\r
\n" ); document.write( "\n" ); document.write( "quinn does the same job in x/4 hours ( since he does the job 4 times faster)\r
\n" ); document.write( "\n" ); document.write( "4/x of the job he does in 1 hour\r
\n" ); document.write( "\n" ); document.write( "they together take 3 hours to do the job\r
\n" ); document.write( "\n" ); document.write( "1/3 of the job in 1 hour\r
\n" ); document.write( "\n" ); document.write( "1/x +4/x = 1/3\r
\n" ); document.write( "\n" ); document.write( "5/x= 1/3\r
\n" ); document.write( "\n" ); document.write( "x=15 hours jacks's time to do the job alone\r
\n" ); document.write( "\n" ); document.write( "Quinn does 4 times faster . he does in 1/4 time = 1/4* 15 = 15/4\r
\n" ); document.write( "\n" ); document.write( "=3.75 hours \r
\n" ); document.write( "\n" ); document.write( "Ananth\r
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