document.write( "Question 690740: Two harvesters take one hour to harvest a field. One of these harvesters takes 1.5 hrs. How long does it take the second harvester to do the field alone? \n" ); document.write( "

Algebra.Com's Answer #426365 by josmiceli(19441) $\"\"$ $\"About$

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The rate of harvesting for the 2 harvesters working together is ( 1 field ) / ( 1 hr )
\n" ); document.write( "The rate of harvesting for the 1st harvester is ( 1 field ( / ( 1.5 hrs )
\n" ); document.write( "Let $\"+t+\"$ = the time in hrs for the 2nd harvester working alone
\n" ); document.write( "The 2nd harvester's rate would be ( 1 field ) / ( t hrs )
\n" ); document.write( "---------------------
\n" ); document.write( "Add their rates to get their rate working together
\n" ); document.write( " $\"+1%2F1.5+%2B+1%2Ft+=+1%2F1+\"$
\n" ); document.write( " $\"+2%2F3+%2B+1%2Ft+=+1+\"$
\n" ); document.write( "Multiply both sides by $\"+3t+\"$
\n" ); document.write( " $\"+2t+%2B+3+=+3t+\"$
\n" ); document.write( " $\"+t+=+3+\"$
\n" ); document.write( "It takes 3 hrs for the 2nd harvester working alone
\n" ); document.write( "to harvest the field\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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