document.write( "Question 1157699: Pam and John, working together, can mow the lawn in 2 hours. Working alone, John takes twice as long as Pam. How long does it take Pam to mow the lawn alone? \n" ); document.write( "

Algebra.Com's Answer #780576 by josmiceli(19441) $\"\"$ $\"About$

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Their rate working together is
\n" ); document.write( "[ 1 job done ] / [ 2 hrs ] = $\"+1%2F2+\"$
\n" ); document.write( "Let $\"+t+\"$ = time in hrs for Pam to
\n" ); document.write( "mow the lawn alone
\n" ); document.write( "Pam's rate is $\"+1%2Ft+\"$
\n" ); document.write( "John's rate is $\"+1%2F%282t%29+\"$
\n" ); document.write( "------------------------------
\n" ); document.write( "Add their rates to get the rate working together
\n" ); document.write( " $\"+1%2Ft+%2B+1%2F%282t%29+=+1%2F2+\"$
\n" ); document.write( "Multiply both sides by $\"+2t+\"$
\n" ); document.write( " $\"+2+%2B+1+=+t+\"$
\n" ); document.write( " $\"+t+=+3+\"$ hrs
\n" ); document.write( "Pam takes 3 hrs working alone
\n" ); document.write( "-------------------------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+1%2Ft+%2B+1%2F%282t%29+=+1%2F2+\"$
\n" ); document.write( " $\"+1%2F3+%2B+1%2F6+=+1%2F2+\"$
\n" ); document.write( " $\"+2%2F6+%2B+1%2F6+=+3%2F6+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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