document.write( "Question 1026885: It takes Terrell 83 minutes to weed his garden, while his wife can get it done in 63 minutes. How long would it take them working together? Round to the nearest tenth of a minute. \n" ); document.write( "

Algebra.Com's Answer #642229 by josmiceli(19441) $\"\"$ $\"About$

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Ad their rates of working
\n" ); document.write( "Terrell's rate:
\n" ); document.write( "[ 1 garden ] / [ 83 min ]
\n" ); document.write( "His wife:
\n" ); document.write( "[ 1 garden ] / [ 63 min ]
\n" ); document.write( "---------------------
\n" ); document.write( "Let $\"+t+\"$ = their time working together
\n" ); document.write( " $\"+1%2F83+%2B+1%2F63+=+1%2Ft+\"$
\n" ); document.write( "Multiply both sides by $\"+83%2A63t+\"$
\n" ); document.write( " $\"+63t+%2B+83t+=+63%2A83+\"$
\n" ); document.write( " $\"+146t+=+5229+\"$
\n" ); document.write( " $\"+t+=+35.815+\"$
\n" ); document.write( "----------------
\n" ); document.write( "It takes them 35.8 min working together
\n" ); document.write( "----------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+1%2F83+%2B+1%2F63+=+1%2Ft+\"$
\n" ); document.write( " $\"+1%2F83+%2B+1%2F63+=+1%2F35.8+\"$
\n" ); document.write( " $\"+.01205+%2B+.01587+=+.02793+\"$
\n" ); document.write( " $\"+.02792+=+.02793+\"$
\n" ); document.write( "Error due to rounding off, I think \n" ); document.write( "

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