document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=437074>Question 437074</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if it takes 7 1/2 minutes to walk 3/8 of a mile then how long will it take to walk 2 miles </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #302319 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=302319\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The standard distance formula is:  d=rt, where d=distance, r=rate, and t=time.<BR>\n" );
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document.write( "We're told:<BR>\n" );
document.write( "3/8 mi = 15/2 min * r miles/min<BR>\n" );
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document.write( "Note that 7 and 1/2 minutes = 15/2 minutes<BR>\n" );
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document.write( "3/8 = 15/2 * r<BR>\n" );
document.write( "Multiply both sides by 8<BR>\n" );
document.write( "3 = 8*(15/2) * r<BR>\n" );
document.write( "3 = 4*15*r<BR>\n" );
document.write( "3 = 60r<BR>\n" );
document.write( "Divide both sides by 60<BR>\n" );
document.write( "3/60 = r<BR>\n" );
document.write( "so<BR>\n" );
document.write( "r = 3/60<BR>\n" );
document.write( "r = 1/20<BR>\n" );
document.write( "That means the person is walking at 1/20 of a mile per minute.<BR>\n" );
document.write( "\"Per minute\" is very important because it would be easy to forget and think in \"miles per hour.\"<BR>\n" );
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document.write( "Now that we have r, we can plug it into the next distance equation to determine \"how long\" it will take to walk 2 miles.<BR>\n" );
document.write( "2 = 1/20*t<BR>\n" );
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document.write( "Multiply both sides by 20 to remove the denominator.<BR>\n" );
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document.write( "40 = t<BR>\n" );
document.write( "t = 40<BR>\n" );
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document.write( "This suggests it will take 40 minutes to walk 2 miles.<BR>\n" );
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document.write( "Always check your answer!<BR>\n" );
document.write( "In this case we can use proportions.<BR>\n" );
document.write( "Is the proportion:  3/8 : 15/2<BR>\n" );
document.write( "the same value as:  2 : 40?<BR>\n" );
document.write( "Simplifying, 2 : 40 is the same as 1 : 20, which equals 0.05.<BR>\n" );
document.write( "So, let's check (3/8)/(15/2).<BR>\n" );
document.write( "Using a calculator we find that (3/8)/(15/2) = 0.05.  <BR>\n" );
document.write( "The proportions are equal, so we know the answer is correct.<BR>\n" );
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document.write( "Review the question to make sure you give a clear answer.<BR>\n" );
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document.write( "Answer:  It will take 40 minutes to walk 2 miles.<BR>\n" );
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document.write( "Done. </SPAN>\n" );
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