document.write( "Question 984558: If one man cuts a load of wood in 6 hours and another cuts a load of wood in 5 hours how much wood can both men cut together \n" ); document.write( "

Algebra.Com's Answer #605322 by josmiceli(19441) $\"\"$ $\"About$

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Add their rates of cutting to get
\n" ); document.write( "their rate cutting together
\n" ); document.write( "[ 1 load of wood ] / [ 6 hrs ] = $\"+1%2F6+\"$
\n" ); document.write( "[ 1 load of wood ] / [ 5 hrs ] = $\"+1%2F5+\"$
\n" ); document.write( "[ 1 load of wood ] / [ t hrs ] = $\"+1%2Ft+\"$
\n" ); document.write( " $\"+1%2F6+%2B+1%2F5+=+1%2Ft+\"$
\n" ); document.write( "Multiply both sides by $\"+5%2A6%2At+\"$
\n" ); document.write( " $\"+5t+%2B+6t+=+5%2A6+\"$
\n" ); document.write( " $\"+11t+=+30+\"$
\n" ); document.write( " $\"+t+=+30%2F11+\"$
\n" ); document.write( " $\"+t+=+2.727+\"$ hrs
\n" ); document.write( " $\"+.727%2A60+=+43.6+\"$
\n" ); document.write( "Together they can cut 1 load of wood
\n" ); document.write( "in 2 hrs 43.6 min
\n" ); document.write( "-----------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+1%2F6+%2B+1%2F5+=+1%2Ft+\"$
\n" ); document.write( " $\"+.1667+%2B+.2+=+1%2F2.727+\"$
\n" ); document.write( " $\"+.3667+=+.3667+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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