document.write( "Question 883050: Ronnie takes 4 hours longer than Tim to paint a room. if they work together they can paint the room in 9 hours. How long would it take each person if they worked alone? using fractions not decimals in answer.
\n" ); document.write( "let a = Tim (X)
\n" ); document.write( "b= Ronnie (X+4)
\n" ); document.write( "t= 9 hrs\r
\n" ); document.write( "\n" ); document.write( "t/a +t/b=1\r
\n" ); document.write( "\n" ); document.write( "9/x+9/x+4=9\r
\n" ); document.write( "\n" ); document.write( "i feel this is the correct format, but im lost at this point
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Algebra.Com's Answer #533295 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+t+\" = time in hours it takes
\n" ); document.write( "Tim to paint the room
\n" ); document.write( "\"+t+%2B+4+\" = time in hours for
\n" ); document.write( "Ronnie to paint the room
\n" ); document.write( "-----------------------
\n" ); document.write( "Add their rates of working to get
\n" ); document.write( "their rate working together
\n" ); document.write( "\"+1%2Ft+%2B+1%2F%28+t%2B4%29+=+1%2F9+\"
\n" ); document.write( "Multiply both sides by \"+9%2At%2A%28+t%2B4+%29+\"
\n" ); document.write( "\"+9%2A%28+t%2B4+%29+%2B+9t+=+t%2A%28+t%2B4+%29+\"
\n" ); document.write( "\"+9t+%2B+36+%2B+9t+=+t%5E2+%2B+4t+\"
\n" ); document.write( "\"+t%5E2+-+14t+=+36+\"
\n" ); document.write( "Complete the square
\n" ); document.write( "\"+t%5E2+-+14t+%2B+%2814%2F2%29%5E2+=+36+%2B+%2814%2F2%29%5E2+\"
\n" ); document.write( "\"+t%5E2+-+14t+%2B+49+=+36+%2B+49+\"
\n" ); document.write( "\"+%28+t+-+7+%29%5E2+=+85+\"
\n" ); document.write( "\"+t+-+7+=+sqrt%2885%29+\"
\n" ); document.write( "\"+t+=+7+%2B+sqrt%2885%29+\" ( Tim's time )
\n" ); document.write( "\"+t+%2B+4+=+11+%2B+sqrt%2885%29+\" ( Ronnie's time )
\n" ); document.write( "------------------------
\n" ); document.write( "check:
\n" ); document.write( "\"+1%2Ft+%2B+1%2F%28+t%2B4%29+=+1%2F9+\"
\n" ); document.write( "\"+1%2F%28+7+%2B+sqrt%2885%29%29+%2B+1%2F%28+11+%2B+sqrt%2885%29%29+=+1%2F9+\"
\n" ); document.write( "
\n" ); document.write( "\"+99+%2B+9%2Asqrt%2885%29+%2B+63+%2B+9%2Asqrt%2885%29+=+77+%2B+18%2Asqrt%2885%29+%2B+85+\"
\n" ); document.write( "\"+99+%2B+63+=+77+%2B+85+\"
\n" ); document.write( "\"+162+=+162+\"
\n" ); document.write( "OK
\n" ); document.write( "Hope I got it\r
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