document.write( "Question 322359: pat has been assigned the job of picking apples from the family orchard.he could do the job alone in 8 hours. he knows that his sister patti,could do the job in 7 hours.he begs her to help,and she agrees.how long will both of them take to pick the apples? round your answer to the nearest tenth \n" ); document.write( "

Algebra.Com's Answer #230772 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Rate*Time=Output
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\n" ); document.write( "Let Z be the total output of the orchard.
\n" ); document.write( "Let Rp be Pat's rate,
\n" ); document.write( " $\"Rp%2A8=Z\"$
\n" ); document.write( " $\"Rp=Z%2F8\"$
\n" ); document.write( "Let Ri be Patti's rate,
\n" ); document.write( " $\"Ri%2A7=Z\"$
\n" ); document.write( " $\"Ri=Z%2F7\"$
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\n" ); document.write( " $\"%28Rp%2BRi%29T=Z\"$
\n" ); document.write( " $\"%28Z%2F8%2BZ%2F7%29T=Z\"$ <--- Divide both sides by Z
\n" ); document.write( " $\"%287%2F56%2B8%2F56%29T=1\"$
\n" ); document.write( " $\"%2813%2F56%29T=1\"$
\n" ); document.write( " $\"T=56%2F13\"$
\n" ); document.write( " $\"T=4.3\"$ hours \n" ); document.write( "

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