document.write( "Question 967825: If you can paint a fence in 3 hours, and your friend can paint the same fence in 2 hours, how long will it take if you worked together? \n" ); document.write( "
Algebra.Com's Answer #591616 by ankor@dixie-net.com(22740)\"\" \"About 
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If you can paint a fence in 3 hours, and your friend can paint the same fence in 2 hours, how long will it take if you worked together?
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\n" ); document.write( "let = time required when working together
\n" ); document.write( "let the completed job = 1 (a fully painted fence)
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\n" ); document.write( "Each will do a fraction of the fence, the 2 fractions add up to 1
\n" ); document.write( "\"t%2F3\" + \"t%2F2\" = 1
\n" ); document.write( "multiply by 6, cancel the denominators:
\n" ); document.write( "2t + 3t = 6
\n" ); document.write( "5t = 6
\n" ); document.write( "t = 6/5
\n" ); document.write( "t = 1.2 hrs working together
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