document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=794179>Question 794179</A>: <I><SPAN STYLE=\"word-break: break-all;\"> in 6 hours A travels 10 Km more THAN B DOES IN 5 HOURS;AND IN 8 hours B travels 7 Km more than A does in 5 hours.WHAT ARE THE SPEEDS OF A AND B. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #480626 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=480626\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let a = A's speed<BR>\n" );
document.write( "Let b = B's<BR>\n" );
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document.write( "Write a distance equation for each statement, (Dist = time * speed):<BR>\n" );
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document.write( "In 6 hours A travels 10 Km more THAN B DOES IN 5 HOURS;<BR>\n" );
document.write( "6a - 5b = 10<BR>\n" );
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document.write( "IN 8 hours B travels 7 Km more than A does in 5 hours.<BR>\n" );
document.write( "8b - 5a = 7<BR>\n" );
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document.write( "Arrange equations for elimination<BR>\n" );
document.write( "6a - 5b = 10<BR>\n" );
document.write( "-5a+ 8b = 7<BR>\n" );
document.write( "Multiply the 1st equation by 8, the 2nd equation by 5<BR>\n" );
document.write( "48a - 40b = 80<BR>\n" );
document.write( "-25a + 40b = 35<BR>\n" );
document.write( "------------------adding eliminates b find a<BR>\n" );
document.write( "23a = 115<BR>\n" );
document.write( "a = 115/23<BR>\n" );
document.write( "a = 5 km/hr is A's speed<BR>\n" );
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document.write( "Find b using the 1st equation<BR>\n" );
document.write( "6(5) - 5b = 10<BR>\n" );
document.write( "-5b = 10 - 30<BR>\n" );
document.write( "-5b = -20<BR>\n" );
document.write( "b = -20/-5<BR>\n" );
document.write( "b = + 4 km/hr is B's speed<BR>\n" );
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document.write( "Check this in the 2nd equation<BR>\n" );
document.write( "8(4) - 5(5) = 7<BR>\n" );
document.write( "32 - 25 = 7 \r<BR>\n" );
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document.write( ". </SPAN>\n" );
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