document.write( "Question 1090882: Ken and Ted can produce 1 chair in 3 hours working together at their respective constant rates. If Ken doubles his speed, then two of them could produce 1 chair in 2 hours working together at their respective rates. How many hours does it currently take Ken to produce 1 chair on his own? \n" ); document.write( "
Algebra.Com's Answer #705337 by josmiceli(19441)\"\" \"About 
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Let \"+R%5B1%5D+\" = Ken's rate in chairs/hr
\n" ); document.write( "Let \"+R%5B2%5D+\" = Ted's rate in chairs/hr
\n" ); document.write( "-------------------------------------
\n" ); document.write( "Add their rate of making chairs to get their
\n" ); document.write( "rate working together
\n" ); document.write( "(1) \"+R%5B1%5D+%2B+R%5B2%5D+=+1%2F3+\"
\n" ); document.write( "(2) \"+2R%5B1%5D+%2B+R%5B2%5D+=+1%2F2+\"
\n" ); document.write( "----------------------------
\n" ); document.write( "(1) \"+R%5B1%5D+%2B+R%5B2%5D+=+2%2F6+\"
\n" ); document.write( "(2) \"+2R%5B1%5D+%2B+R%5B2%5D+=+3%2F6+\"
\n" ); document.write( "-----------------------------
\n" ); document.write( "Subtract (1) from (2)
\n" ); document.write( "\"+R%5B1%5D+=+1%2F6+\"
\n" ); document.write( "Ken can make 1 chair in 6 hrs
\n" ); document.write( "------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+R%5B1%5D+%2B+R%5B2%5D+=+1%2F3+\"
\n" ); document.write( "(1) \"+1%2F6+%2B+R%5B2%5D+=+2%2F6+\"
\n" ); document.write( "(1) \"+R%5B2%5D+=+1%2F6+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+2R%5B1%5D+%2B+R%5B2%5D+=+1%2F2+\"
\n" ); document.write( "(2) \"+2%2A%28+1%2F6+%29+%2B+R%5B2%5D+=+3%2F6+\"
\n" ); document.write( "(2) \"+R%5B2%5D+=+3%2F6+-+2%2F6+\"
\n" ); document.write( "(2) \"+R%5B2%5D+=+1%2F6+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" ); document.write( "
\n" );