document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=523482>Question 523482</A>: <I><SPAN STYLE=\"word-break: break-all;\"> working alone jennifer can pick forty bushels of apples in 12 hours . tosakan can pick  the same amount in 10 hours .how long would it take them if they worked together </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #347320 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=347320\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Work problems like this are solved by using fractions.<BR>\n" );
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document.write( "Jennifer can pick 40 bushels of apples in 12 hours.<BR>\n" );
document.write( "We can define \"picking 40 bushels of apples\" as 1 whole job.<BR>\n" );
document.write( "She does 1/12 of the job per hour.<BR>\n" );
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document.write( "Tosakan can do the job in 10 hours.<BR>\n" );
document.write( "She does 1/10 of the job per hour.<BR>\n" );
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document.write( "x = number of hours working together to do the job<BR>\n" );
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document.write( "(1/12 + 1/10)*x hours = 1 whole job<BR>\n" );
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document.write( "(1/12 + 1/10)*x = 1<BR>\n" );
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document.write( "22/120*x = 1<BR>\n" );
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document.write( "22x = 120<BR>\n" );
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document.write( "x = 120/22 = 60/11<BR>\n" );
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document.write( "60/11 = 5 5/11 hours<BR>\n" );
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document.write( "5/11 hr * 60 min/hr = 300/11 = 27.27272727272727 or about 27.3 min.<BR>\n" );
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document.write( "Working together they can do the job in 5 5/11 hr or about 5 hr and 27.3 min.<BR>\n" );
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document.write( "Always check your solution to see if it is the answer.<BR>\n" );
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document.write( "How many bushels does Jennifer pick in 60/11 hr?<BR>\n" );
document.write( "She picks 40 in 12 hr, so she picks 10/3 bushels per hr.<BR>\n" );
document.write( "60/11 hr * 10/3 bushels/hr = 600/33 = 200/11 = 18.18181818181818 bushels<BR>\n" );
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document.write( "How many bushels does Tosakan pick in 60/11 hr?<BR>\n" );
document.write( "She picks 40 in 10 hr, so she picks 4 bushels per hr.<BR>\n" );
document.write( "60/11 hr * 4 bushels/hr = 240/11 = 21.81818181818182 bushels<BR>\n" );
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document.write( "Answer:  They can pick 40 bushels in 5 5/11 hr working together.<BR>\n" );
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document.write( "Done. </SPAN>\n" );
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