document.write( "Question 108369This question is from textbook Intermediate Algebra
\n" ); document.write( ": The speed of a bicyclist is 10mph faster than the speed of a walker. If the bicyclist travels 26 miles in the same amount of time that the walker travel 6 miles the speed of the bicyclist. \n" ); document.write( "
Algebra.Com's Answer #79022 by ankor@dixie-net.com(22740)\"\" \"About 
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The speed of a bicyclist is 10 mph faster than the speed of a walker. If the bicyclist travels 26 miles in the same amount of time that the walker travels 6 miles the speed of the bicyclist.
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\n" ); document.write( "The last part of the last sentence does not make much sense, but I assume they are asking for the actual speed of the bicyclist
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\n" ); document.write( "Let s = speed of the bicyclist
\n" ); document.write( "Then
\n" ); document.write( "(s-10) = speed of the walker
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\n" ); document.write( "They say the times of the two are equal, we can make a simple time equation from that fact:
\n" ); document.write( "Time = Distance/speed
\n" ); document.write( ":
\n" ); document.write( "Bike time = Walking time
\n" ); document.write( "\"26%2Fs\" = \"6%2F%28%28s-10%29%29\"
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\n" ); document.write( "Cross multiply:
\n" ); document.write( "26(s-10) = 6s
\n" ); document.write( "26s - 260 = 6s
\n" ); document.write( "26s - 6s = +260
\n" ); document.write( "20s = 260
\n" ); document.write( "s = 260/20
\n" ); document.write( "s = 13 mph is the speed of the bike
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\n" ); document.write( "Check our solution by confirming the times are equal:
\n" ); document.write( "Walker speed: 13 - 10 = 3 mph
\n" ); document.write( "6/3 = 2 hrs
\n" ); document.write( "26/13 = 2 hrs \n" ); document.write( "
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