document.write( "Question 1136307: It takes Earl 2 hours to paint a fence. It would take 3 hours for Ted to paint a same fence. If Earl and Ted work together to paint half the fence, then Earl leaves and Ted paints the rest of the fence by himself, how long would it take in total for the fence to be painted> \n" ); document.write( "

Algebra.Com's Answer #754058 by josmiceli(19441) $\"\"$ $\"About$

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Add their rates of working to get rate working together:
\n" ); document.write( "Let $\"+t+\"$ = time in hrs to paint 1/2 the fence
\n" ); document.write( " $\"+1%2F2+%2B+1%2F3+=+%28%281%2F2%29%29%2Ft+\"$
\n" ); document.write( "Multiply both sides by $\"+6t+\"$
\n" ); document.write( " $\"+3t+%2B+2t+=+3+\"$
\n" ); document.write( " $\"+5t+=+3+\"$
\n" ); document.write( " $\"+t+=+3%2F5+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "Then Ted paints 1/2 the fence alone.
\n" ); document.write( "Let $\"+t%5B1%5D+\"$ = his time to paint 1/2 of the fence
\n" ); document.write( " $\"+1%2F3+=+%28%281%2F2%29%29%2Ft%5B1%5D+\"$
\n" ); document.write( "Multiply both sides by $\"+3t%5B1%5D+\"$
\n" ); document.write( " $\"+t%5B1%5D+=+3%2F2+\"$
\n" ); document.write( "---------------------
\n" ); document.write( " $\"+t+%2B+t%5B1%5D+=+3%2F5+%2B+3%2F2+\"$
\n" ); document.write( " $\"+t+%2B+t%5B1%5D+=+6%2F10+%2B+15%2F10+\"$
\n" ); document.write( " $\"+t+%2B+t%5B1%5D+=+2.1+\"$ hrs
\n" ); document.write( "convert to hrs + min
\n" ); document.write( " $\"+.1%2A60+=+6+\"$ min
\n" ); document.write( "Total time to paint the fence is 2 hrs 6 min
\n" ); document.write( "---------------
\n" ); document.write( "Get a 2nd opinion if needed\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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