document.write( "Question 1140362: Working together, Tumelo and Jan can sand a floor in five eights of the time that it takes Jan to sand it by himself. Jan takes 6 hours to sand the floor alone. How long does it take Thumelo to sand the floor by himself \n" ); document.write( "

Algebra.Com's Answer #760869 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Jan's rate of working is
\n" ); document.write( "[ 1 floor sanded ] / [ 6 hrs ] = $\"+1%2F6+\"$
\n" ); document.write( "Let $\"+t+\"$ = Thumelo's time working alone
\n" ); document.write( " $\"+1%2F%28+%285%2F8%29%2A6+%29+=+4%2F15+\"$
\n" ); document.write( "Add their rates of working to get their rate working together
\n" ); document.write( " $\"+1%2F6+%2B+1%2Ft+=+4%2F15+\"$
\n" ); document.write( "Multiply both sides by $\"+90t+\"$
\n" ); document.write( " $\"+15t+%2B+90+=+24t+\"$
\n" ); document.write( " $\"+9t+=+90+\"$
\n" ); document.write( " $\"+t+=+10+\"$
\n" ); document.write( "It takes him 10 hrs working alone
\n" ); document.write( "---------------------------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+1%2F6+%2B+1%2F10+=+4%2F15+\"$
\n" ); document.write( "Multiply both sides by $\"+30+\"$
\n" ); document.write( " $\"+5+%2B+3+=+8+\"$
\n" ); document.write( " $\"+8+=+8+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );