document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1146304>Question 1146304</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ashley swam 8 kilometers against the current in the same amount of time it took her to swim 16 kilometers with the current. The rate of the current was  1 kilometer per hour. How fast would Ashley swim if there were no current? </SPAN>\n" );
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document.write( "The times are the same; so the ratio of distances is the same as the ratio of speeds:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28r-1%29%2F%28r%2B1%29+=+8%2F16 ALIGN=MIDDLE  ALT=\"%28r-1%29%2F%28r%2B1%29+=+8%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28r-1%29%2F%28r%2B1%29+=+1%2F2 ALIGN=MIDDLE  ALT=\"%28r-1%29%2F%28r%2B1%29+=+1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "You can solve the equation algebraically; however a little insight can lead quickly to an answer.<br><BR>\n" );
document.write( "The difference between the numerator and denominator on the left is 2.  So rewrite the fraction on the right as an equivalent fraction where the difference between the numerator and denominator is 2:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28r-1%29%2F%28r%2B1%29+=+2%2F4 ALIGN=MIDDLE  ALT=\"%28r-1%29%2F%28r%2B1%29+=+2%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "That clearly makes r=3.<br><BR>\n" );
document.write( "ANSWER: Ashley's rate in still water is 3km/hr. </SPAN>\n" );
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