document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1158408>Question 1158408</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Nickola swam at a rate of 3 ​km/hr and ran at a rate of 15 ​km/hr for a total distance traveled of  88.5 km. If he completed the race in 7.5 ​hours, how long did he take to complete each part of the​ race?\r<BR>\n" );
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document.write( "The time Nickola spent swimming is ? ​hours, and the time he spent running is <BR>\n" );
document.write( "? hours. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #781346 by </B><A HREF=/tutors/aboutme.mpl?userid=Shin123><B>Shin123(626)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Shin123><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=Shin123><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=781346\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose she swam for x hours and ran for y hours. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x%2By=7.5%2C3x%2B15y=88.5%29 ALIGN=MIDDLE  ALT=\"system%28x%2By=7.5%2C3x%2B15y=88.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <br/> <TABLE  BORDER=1>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=Equation_Solver_2.solver>System of Equations</A></TD></TR>\n" );
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document.write( " We have the system of equations \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%281+x%2B1+y=7.5%2C3+x%2B15+y=88.5%29 ALIGN=MIDDLE  ALT=\"system%281+x%2B1+y=7.5%2C3+x%2B15+y=88.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Solving the 2 equations for y gets you     \r<BR>\n" );
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document.write( "y= -(1) x+(7.5)<BR>\n" );
document.write( "y=-(0.2) x+(5.9) So -(1) x+(7.5)=-(0.2) x+(5.9).  -0.8 x+ 7.5=5.9  -0.8 x=-1.6  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=2%29 ALIGN=MIDDLE  ALT=\"highlight%28x=2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug this value into either equation to find that  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=5.5%29 ALIGN=MIDDLE  ALT=\"highlight%28y=5.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( " <br/> She spent 2 hours swimming and 5.5 hours running. </SPAN>\n" );
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