document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=964529>Question 964529</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jenny and Penny can eat a whole gallon of ice cream together in 2 hours. Penny and Lenny can eat a whole gallon of ice cream together in 1 2/3 hours. All three together can eat a whole gallon of ice cream together in 1 hour. How many hours would it take Jenny to eat a whole gallon of ice cream all by herself?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #589392 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=589392\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Jenny and Penny can eat a whole gallon of ice cream together in 2 hours. Penny and Lenny can eat a whole gallon of ice cream together in 1 2/3 hours. All three together can eat a whole gallon of ice cream together in 1 hour. How many hours would it take Jenny to eat a whole gallon of ice cream all by herself?<BR>\n" );
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document.write( "Use a set of equations of rates to get:<BR>\n" );
document.write( "j + p = 1/2 job/hr<BR>\n" );
document.write( "p + L = 3/5 job/hr<BR>\n" );
document.write( "j + p + L = 1/1 job/hr<BR>\n" );
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document.write( "Substitute for \"j\" and for \"L\" and solve for \"p\"::<BR>\n" );
document.write( "(1/2)-p + p + (3/5)-p = 1<BR>\n" );
document.write( "Simplify::<BR>\n" );
document.write( "(1/2)+(3/5) - p = 1<BR>\n" );
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document.write( "(5+6)/10 - p = 1<BR>\n" );
document.write( "-p = -1/10<BR>\n" );
document.write( "p = 1/10 (Penny's rate)<BR>\n" );
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document.write( "Solve for \"J\"<BR>\n" );
document.write( "j + p = 1/2<BR>\n" );
document.write( "j + 1/10 = 1/2<BR>\n" );
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document.write( "j = (5/10) - (1/10)<BR>\n" );
document.write( "j = 4/10 = 2/5 (Jenny's rate)<BR>\n" );
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document.write( "Ans:: Jenny's time to do the job alone:: 5/2 = 2 1/2 hrs<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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