document.write( "Question 732830: It takes a Kayak 1 1/2 hours to go 24 miles downstream and 4 hours to return. Find the speed of the current and the speed of the kayak in still water \n" ); document.write( "
Algebra.Com's Answer #448089 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
It takes a Kayak 1 1/2 hours to go 24 miles downstream and 4 hours
\n" ); document.write( " to return.
\n" ); document.write( "Find the speed of the current and the speed of the kayak in still water
\n" ); document.write( ":
\n" ); document.write( "let s = speed in still water
\n" ); document.write( "let c = speed of the current
\n" ); document.write( ":
\n" ); document.write( "Write distance equation for each way
\n" ); document.write( "1.5(s+c) = 24
\n" ); document.write( "4.0(s-c) = 24
\n" ); document.write( "Simplify both, divide the 1st by 1.5, the 2nd by 4, resulting in
\n" ); document.write( "s + c = 16
\n" ); document.write( "s - c = 6
\n" ); document.write( "-------------addition eliminates c, find s
\n" ); document.write( "2s = 22
\n" ); document.write( "s = 11 mph in still water
\n" ); document.write( ":
\n" ); document.write( "I'll let you find the speed of the current
\n" ); document.write( "check your solutions in both equations \n" ); document.write( "
\n" );