document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=311231>Question 311231</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Translate the problem into a pair of linear equations in two vaiables. Solve the equations using either elimination or substitution. State your answer for the specified variable.\r<BR>\n" );
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document.write( "From a point on a river, two boats are driven in opposite directions, one at 10 miles per hour and the other at 8 miles per hour. In how many hours will they be 54 miles apart? <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #222582 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=222582\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> From a point on a river, two boats are driven in opposite directions, one at 10 miles per hour and the other at 8 miles per hour. In how many hours will they be 54 miles apart? \r<BR>\n" );
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document.write( "When they are at a distance of 54 miles<BR>\n" );
document.write( "let boat A travel x miles <BR>\n" );
document.write( "Let boat B travel y miles <BR>\n" );
document.write( "x+y=54<BR>\n" );
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document.write( "Time taken by boat A will be x/10 hours<BR>\n" );
document.write( "Time taken by boat B = y/8 hours<BR>\n" );
document.write( "time taken by them is the same.<BR>\n" );
document.write( "x/10=y/8<BR>\n" );
document.write( "8x=10y<BR>\n" );
document.write( "8x-10y=0<BR>\n" );
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document.write( "10(x+y)+(8x-10y)= 10*54+0\r<BR>\n" );
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document.write( "10x+10y+8x-10y= 540<BR>\n" );
document.write( "18x=540<BR>\n" );
document.write( "x= 30 Boat A travels 30 miles.\r<BR>\n" );
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document.write( "To travel 30 miles Boat A will take 30/10 hours<BR>\n" );
document.write( "= 3 hours.<BR>\n" );
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document.write( "check<BR>\n" );
document.write( "Boat B will travel 24 miles<BR>\n" );
document.write( "Time taken by boat B = 24/8<BR>\n" );
document.write( "=3 hours.\r<BR>\n" );
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document.write( "After 3 hours they will be at a distance of 54 miles </SPAN>\n" );
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