document.write( "Question 760013: please help me with this problem ): I have no idea where to begin and how to solve this. help! ): ): \r
\n" ); document.write( "\n" ); document.write( "Sarah can build a fence in 9 hours. Joe can do the same in 6 hours. How long would it take them working together, to build the fence?
\n" ); document.write( "t=time together
\n" ); document.write( "1=the completed job
\n" ); document.write( "t/9=fraction of fence built by Sarah in t hours
\n" ); document.write( "t/6=fraction of fence built by Joe in t hours.
\n" ); document.write( "

Algebra.Com's Answer #462358 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Sarah's rate of working is:
\n" ); document.write( "( 1 fence built ) / ( 9 hours )
\n" ); document.write( "Joe's rate of working is:
\n" ); document.write( "( 1 fence built ) / ( 6 hours )
\n" ); document.write( "------------------------
\n" ); document.write( "If you add their rates of working, you get
\n" ); document.write( "their rate working together.
\n" ); document.write( "( Sarah's rate ) + ( Joe's rate ) = ( 1 fence built ) / ( t hours )
\n" ); document.write( "Notice that I want t hours to be the time to build 1 fence
\n" ); document.write( "------------------------------------------------
\n" ); document.write( "The equation is:
\n" ); document.write( "\"+1%2F9+%2B+1%2F6+=+1%2Ft+\"
\n" ); document.write( "Multiply both sides by \"+18t+\"
\n" ); document.write( "\"+2t+%2B+3t+=+18+\"
\n" ); document.write( "\"+5t+=+18+\"
\n" ); document.write( "\"+t+=+3.6+\" hrs
\n" ); document.write( "\"+.6%2A60+=+36+\"
\n" ); document.write( "It will take them 3 hrs and 36 min working together
\n" ); document.write( "------------------------
\n" ); document.write( "t/9=fraction of fence built by Sarah in t hours
\n" ); document.write( "t/6=fraction of fence built by Joe in t hours.
\n" ); document.write( "You can arrive at this by multiplying both sides by \"+t+\"
\n" ); document.write( "\"+t%2F9+%2B+t%2F6+=+1+\"
\n" ); document.write( "Time is now eliminated and the equation says:
\n" ); document.write( "( Sarah's part ) + ( Joe's part ) = 1 fence built
\n" ); document.write( "\"+3.6%2F9+%2B+3.6%2F6+=+1+\"
\n" ); document.write( "\"+36%2F9+%2B+36%2F6+=+10+\"
\n" ); document.write( "\"+4+%2B+6+=+10+\"
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" );