document.write( "Question 834340: If Sam can paint a room in 4 hours and Gene can paint the same room in 6 hours but Timmy can paint the same room in 2 hours, how fast can they all paint the room together?
\n" ); document.write( "I got the answer: approximately 1.091 hours.
\n" ); document.write( "Is this correct? Thanks! \n" ); document.write( "

Algebra.Com's Answer #502939 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+t+\"$ = time in hours
\n" ); document.write( "for all 3 to paint the room
\n" ); document.write( "-------------
\n" ); document.write( "Add their rates of painting:
\n" ); document.write( " $\"+1%2F4+%2B+1%2F6+%2B+1%2F2+=+1%2Ft+\"$
\n" ); document.write( "Multiply both sides by $\"+12t+\"$
\n" ); document.write( " $\"+3t+%2B+2t+%2B+6t+=+12+\"$
\n" ); document.write( " $\"+11t+=+12+\"$
\n" ); document.write( " $\"+t+=+12%2F11+\"$ hr
\n" ); document.write( " $\"+t+=+1+%2B+1%2F11+\"$ hrs
\n" ); document.write( " $\"+1+\"$ hr + $\"+60%2F11+\"$ min
\n" ); document.write( " $\"+60%2F11+=+5.455+\"$
\n" ); document.write( " $\"+.455%2A60+=+27+\"$
\n" ); document.write( "1 hr 5 min 27 sec
\n" ); document.write( "You got the same answer!\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );