document.write( "Question 303077: 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 #217332 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Quinn can refinish hardwood floors four times as fast as Jack.
\n" ); document.write( " They have to refinish 100 ft^2 of flooring.
\n" ); document.write( "Working together, Quinn and Jack can finish the job in 3 hours.
\n" ); document.write( " How long would it take each of them working alone?
\n" ); document.write( ":
\n" ); document.write( "Let t = time required by Q to complete job alone
\n" ); document.write( "then
\n" ); document.write( "4t = time required by J
\n" ); document.write( ":
\n" ); document.write( "Let the completed job (refinishing 100sq/ft) = 1
\n" ); document.write( ":
\n" ); document.write( " $\"3%2Ft\"$ + $\"3%2F%284t%29\"$ = 1
\n" ); document.write( "multiply each term by 4t, results
\n" ); document.write( "4(3) + 3 = 4t
\n" ); document.write( "12 + 3 = 4t
\n" ); document.write( "15 = 4t
\n" ); document.write( "t = $\"15%2F4\"$
\n" ); document.write( "t = 3.75 hrs, Q alone
\n" ); document.write( "then
\n" ); document.write( "4(3.75) = 15 hrs, J alone
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this:
\n" ); document.write( "3/3.75 + 3/15 =
\n" ); document.write( ".8 + .2 = 1 \n" ); document.write( "

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