document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=18817>Question 18817</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A troop of scouts hiked to the city at a rate of 2 mph.  they rode back at a rate of 18 mph.  If the round trip took 10 hours, how far is the city?  What is the formula to solve this problem? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #9054 by </B><A HREF=/tutors/aboutme.mpl?userid=yuvaraja><B>yuvaraja(2)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=yuvaraja><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=9054\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A troop of scouts hiked to the city at a rate of 2 mph.  they rode back at a rate of 18 mph.  If the round trip took 10 hours, how far is the city?  What is the formula to solve this problem?<BR>\n" );
document.write( "Solution:\r<BR>\n" );
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document.write( "We have to use the formula,    \"Time = Distance/Speed\"<BR>\n" );
document.write( "(This formula is got from the formula, Distance = Speed * Time)\r<BR>\n" );
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document.write( "We know the total time, and rates for the hike and the ride.\r<BR>\n" );
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document.write( "Time taken to hike + time taken to rode back = 10 hours ----(1)\r<BR>\n" );
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document.write( "Let us take the distance to be x.\r<BR>\n" );
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document.write( "Time taken to hike          = Distance / speed = x/2<BR>\n" );
document.write( "Time taken to rode back     = Distance / speed = x/18\r<BR>\n" );
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document.write( "Plug in these values in (1)\r<BR>\n" );
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document.write( "(x/2) + (x/18) = 10.\r<BR>\n" );
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document.write( "We have to find the value of x.<BR>\n" );
document.write( "Find the common denominator and simplify.<BR>\n" );
document.write( "The common denominator is 18.<BR>\n" );
document.write( "Multiply the numerator and denominator of the first term by 9.\r<BR>\n" );
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document.write( "(9x/18) + (x/18) = 10\r<BR>\n" );
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document.write( "Now we have the common denominator. So we can add the numerators.<BR>\n" );
document.write( "(9x+x) / 18 = 10.<BR>\n" );
document.write( "10x / 18 = 10<BR>\n" );
document.write( "Multiply both sides by 18.<BR>\n" );
document.write( "10x = 180.<BR>\n" );
document.write( "x = 18 miles.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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