document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1163452>Question 1163452</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How far can a man walk into the country at the rate of 4mph if he rides back at the rate of 20 mph and his total time is 8 hours? Express your answer as a decimal number to the nearest hundredth. </SPAN>\n" );
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document.write( "The distances out and back are the same; the ratio of speeds is 4:20 = 1:5.<br><BR>\n" );
document.write( "That means the ratio of times at the two speeds is 5:1.<br><BR>\n" );
document.write( "So 1/6 of the total time was spent returning.<br><BR>\n" );
document.write( "1/6 of 8 hours is 8/6 hours, or 4/3 hours.<br><BR>\n" );
document.write( "The distance traveled at 20mph in 4/3 hours is (4/3)*20 = 80/3 miles, or 26 2/3 miles.<br><BR>\n" );
document.write( "ANSWER: 26 2/3 miles<br><BR>\n" );
document.write( "Of course the same answer is obtained by finding how far he travels in 5/6 of the total time at the lower speed:<br><BR>\n" );
document.write( "5/6 of 8 hours is 40/6 hours, or 20/3 hours.<BR>\n" );
document.write( "20/3 hours at 4mph is (20/3)(4) = 80/3 miles.<br><BR>\n" );
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