document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=340797>Question 340797</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone, anybody assist.. I know there are 24 hours in a day.\r<BR>\n" );
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document.write( "Maria and Charlie can deliver 42 papers in 3 hours. How long would it take them to deliver 49 papers? \r<BR>\n" );
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document.write( "Here's how I worked it: DO i DIVIDED 42 / 3 THEN MULTIPLY THAT NUMBER BY 49?  CONFUSED AND REALLY tired. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #244156 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=244156\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> maria and charlie can deliver 42 papers in 3 hours.\r<BR>\n" );
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document.write( "how long would it take them to deliver 49 papers?\r<BR>\n" );
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document.write( "for this type of problem you would want to know how many hours per paper.\r<BR>\n" );
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document.write( "if they can deliver 42 papers in 3 hours, then divide 3 hours by 42 to get .071428561 papers per hour.\r<BR>\n" );
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document.write( "multiply that by 49 and you get 3.5 hours.\r<BR>\n" );
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document.write( "if would take them 3 and 1/2 hours to deliver 49 papers.\r<BR>\n" );
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document.write( "what makes this problem different is that, normally, you are looking for a rate of how many papers per hour.\r<BR>\n" );
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document.write( "in this problem, you want to know how many hours per paper.\r<BR>\n" );
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document.write( "papers per hour would be number of papers divided by number of hours.\r<BR>\n" );
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document.write( "hours per paper would be number of hours divided by number of papers.\r<BR>\n" );
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document.write( "you could also have solved this by papers per hour.\r<BR>\n" );
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document.write( "42 papers in 3 hours becomes 42/3 = 14 papers per hour.\r<BR>\n" );
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document.write( "49 / 14 = 3.5 hours\r<BR>\n" );
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document.write( "If you're working with hours per paper, then you can confirm that the ratio is good by multiplying 42 (your original number) * .071428561 to get 3 hours.\r<BR>\n" );
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document.write( "If you're working with papers per hours, then you can confirm that the ratio is good by dividing 42 (your original number) by 14 to get 3 hours.\r<BR>\n" );
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document.write( "If you want to generalize the equations, you would do the following:\r<BR>\n" );
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document.write( "let p = number of papers<BR>\n" );
document.write( "let h = number of hours.\r<BR>\n" );
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document.write( "papers per hour = p/h\r<BR>\n" );
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document.write( "hours per paper = h/p\r<BR>\n" );
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document.write( "number of papers times number of hours per paper becomes p * h/p which becomes h which is the number of hours.\r<BR>\n" );
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document.write( "number of papers divided by papers per hour becomes p / (p/h) which is the same as p * (h/p) which becomes h which is the number of hours.\r<BR>\n" );
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document.write( "it's a matter of what ratio you are using and how you apply it.\r<BR>\n" );
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document.write( "you will get the number of hours either way.<BR>\n" );
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