document.write( "Question 972584: Alan took 4 hours to tile the floor of a room. Gary took 6 hours to tile the floor of the same room. If they worked together, how long would they take to tile the floor of the room \n" ); document.write( "

Algebra.Com's Answer #594914 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Add their rates of working to get their rate working together
\n" ); document.write( "Alan's rate:
\n" ); document.write( "[ 1 floor tiled ] / [ 4 hrs ]
\n" ); document.write( "Gary's rate:
\n" ); document.write( "[ 1 floor tiled ] / [ 6 hrs ]
\n" ); document.write( "------------------------
\n" ); document.write( "Let $\"+t+\"$ = time in hrs to tile floor
\n" ); document.write( "with both working together
\n" ); document.write( " $\"+1%2F4+%2B+1%2F6+=+1%2Ft+\"$
\n" ); document.write( "Multiply both sides by $\"+12t+\"$
\n" ); document.write( " $\"+3t+%2B+2t+=+12+\"$
\n" ); document.write( " $\"+5t+=+12+\"$
\n" ); document.write( " $\"+t+=+2.4+\"$
\n" ); document.write( "convert $\"+.4+\"$ hrs to minutes
\n" ); document.write( " $\"+.4%2A60+=+24+\"$
\n" ); document.write( "---------------
\n" ); document.write( "Working together, it will take them 2 hrs and 24 min to tile floor
\n" ); document.write( "---------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+1%2F4+%2B+1%2F6+=+1%2Ft+\"$
\n" ); document.write( " $\"+1%2F4+%2B+1%2F6+=+1%2F2.4+\"$
\n" ); document.write( " $\"+.25+%2B+.16667+=+.416667+\"$
\n" ); document.write( " $\"+.41667+=+.416667+\"$
\n" ); document.write( "close enough\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );