document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1028722>Question 1028722</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Q2. A farmer can plough 42 acres in a day. His field measures 3.03 hectres, but he wants to leave aside a 60m×50m plot to build a warehouse. How many days will he take to plough the field?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #643825 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=643825\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the easiest way to solve a problem like this is to convert everything to a common measure.\r<BR>\n" );
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document.write( "we'll convert everything to square meters.\r<BR>\n" );
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document.write( "1 acre = 4046.8564224 square meters.<BR>\n" );
document.write( "1 hectare = 10,000 square meters.\r<BR>\n" );
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document.write( "here's the table i used to find the conversion factors.<BR>\n" );
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document.write( "you are given that the farmer can plough 42 acres in a day.<BR>\n" );
document.write( "that's equivalent to 42 * 4046.8564224 = 169967.9697 square meters in a day.\r<BR>\n" );
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document.write( "you are given that his field measures 3.03 hectares.<BR>\n" );
document.write( "that's equivalent to 3.03 * 10,000 = 30300 square meters.\r<BR>\n" );
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document.write( "you are given that he wants to reserve 50m * 60m = 3000 square meters to build a warehouse.\r<BR>\n" );
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document.write( "subtract 3000 from 30300 square meters and you get 27300 square meters that need to be plowed.\r<BR>\n" );
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document.write( "if he can plough 169967.9697 square meters in a day, then it should take him 27300 / 169967.9697 = .160618498 * 1 day to plough the 27300 square meters.\r<BR>\n" );
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document.write( ".160618498 * 1 day = .160618498 * 24 hours = 3.854843952 hours which is equivalent to 3 hours and .854843952 * 60 minutes = 3 hours and 51.29063711 minutes.\r<BR>\n" );
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document.write( "this should be within 3 hours and 52 minutes.\r<BR>\n" );
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document.write( "i converted everything to acres and got the same answer, so i'm reasonably confident it's good.\r<BR>\n" );
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document.write( "it doesn't really mater which measure you use.<BR>\n" );
document.write( "what maters is you convert everything to the same common measure.<BR>\n" );
document.write( "i used square meters.<BR>\n" );
document.write( "you could just as easily converted everything to acres or everything to hectares.<BR>\n" );
document.write( "you would, if you did it correctly, get the same answer.\r<BR>\n" );
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document.write( "you could also have used the rate * time = quantity of work produced formula.\r<BR>\n" );
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document.write( "you are given that the farmer can plough 42 acres in one day.\r<BR>\n" );
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document.write( "the rate * time formula becomes:\r<BR>\n" );
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document.write( "rate * 1 day = 42 acres\r<BR>\n" );
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document.write( "divide both sides of this equation by 1 and you get rate = 42 acres per day.\r<BR>\n" );
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document.write( "for this scenario, i'll convert everything to acres.\r<BR>\n" );
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document.write( "the farmer has 3.03 hectares.<BR>\n" );
document.write( "that's equivalent to 7.487293058 acres.<BR>\n" );
document.write( "the farmer wants to reserve 3000 square meters for a wearehouse.<BR>\n" );
document.write( "that's equivalent to .7413161444 acres.\r<BR>\n" );
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document.write( "subtract .7413161444 acres from 7.487293058 acres and you get 6.745976914 acres that need to be ploughed.\r<BR>\n" );
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document.write( "at a rate of 1/42 acres per day, the rate * time formula becomes:\r<BR>\n" );
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document.write( "42 * x = 6.745976914 acres.\r<BR>\n" );
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document.write( "x represents the number of days.\r<BR>\n" );
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document.write( "solve for x to get x = 6.745976914 / 42 = .160618498 days.\r<BR>\n" );
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document.write( "that's the same answer we got before.\r<BR>\n" );
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document.write( "it supports the solution as being correct, so i'll go with that.\r<BR>\n" );
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document.write( "the solution is:\r<BR>\n" );
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document.write( "it would take the farmer .160618498 days to plough the field.\r<BR>\n" );
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document.write( "that's equivalent to within 3 hours and 52 minutes.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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