document.write( "Question 1152688: Katie bikes 6mph faster than Dave. Katie can bike 11 miles in the same amount of time that Dave can bike 8 miles. Find their speeds. \n" ); document.write( "
Algebra.Com's Answer #774761 by ankor@dixie-net.com(22740)\"\" \"About 
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let s = Dave's speed
\n" ); document.write( "Katie bikes 6mph faster than Dave.
\n" ); document.write( "(s+6) = Katie's speed
\n" ); document.write( " Katie can bike 11 miles in the same amount of time that Dave can bike 8 miles.
\n" ); document.write( "write a time equation; time = dist/speed
\n" ); document.write( "\"8%2Fs\" = \"11%2F%28%28s%2B6%29%29\"
\n" ); document.write( "cross multiply
\n" ); document.write( "11s = 8(s+6)
\n" ); document.write( "11s = 8s + 48
\n" ); document.write( "11s - 8s = 48
\n" ); document.write( "s = 48/3
\n" ); document.write( "s = 16 mph is D's speed
\n" ); document.write( "then
\n" ); document.write( "16+6 = 22 mph is K's speed
\n" ); document.write( ":
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\n" ); document.write( "Check, find the time of each
\n" ); document.write( "8/16 = .5 hrs
\n" ); document.write( "11/22 = .5 hrs\r
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