document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1175009>Question 1175009</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jane and Maria can clean the house in 2 hours if they work together. The time that Jane takes in cleaning the house alone is 3 hours more than the time Maria takes in cleaning the same house.\r<BR>\n" );
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document.write( "Define the variables<BR>\n" );
document.write( "Thought Process<BR>\n" );
document.write( "Equations<BR>\n" );
document.write( "Solving equations<BR>\n" );
document.write( "Answer\r<BR>\n" );
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document.write( "KINDLY PLEASE HELP ME TO SOLVE THIS..THANK YOU💜 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #800546 by </B><A HREF=/tutors/aboutme.mpl?userid=Solver92311><B>Solver92311(821)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Solver92311><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/cgi-bin/show-face.mpl?user=Solver92311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=800546\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> represent the number of hours Maria would take to clean the house alone.  Then<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\,+\,3\"> is the number of hours Jane would take to clean the house alone.\r<BR>\n" );
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document.write( "Maria can clean <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{1}{x}\"> of the house in one hour.  Jane can clean <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{1}{x\,+\,3}\"> of the house in one hour.  Working together, they could clean <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{1}{x}\ +\ \frac{1}{x\,+\,3}\"> of the house in one hour.\r<BR>\n" );
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document.write( "Adding the fractions:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{(x\,+\,3)\ +\ x}{x(x\,+\,3)}\ =\ \frac{2x\,+\,3}{x^2\,+\,3x}\">\r<BR>\n" );
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document.write( "represents the fractional portion of the house that they could clean in one hour working together.  Taking the reciprocal:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{x^2\,+\,3x}{2x\,+\,3}\">\r<BR>\n" );
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document.write( "represents the amount of time that it would take both to clean the whole house, and we know that this is equal to 2 hours, hence:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{x^2\,+\,3x}{2x\,+\,3}\ =\ 2\">\r<BR>\n" );
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document.write( "Solve for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> to find the amount of time it would take Maria to clean the house by herself, and then calculate <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\ +\ 3\"> to find the amount of time it would take Jane to clean the house by herself. Hint:  Multiply both sides of the equation by the denominator on the left, collect like terms, solve the resulting quadratic, and discard any answer less than zero.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "From <https://www.algebra.com/cgi-bin/upload-illustration.mpl> <BR>\n" );
document.write( "I > Ø<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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