document.write( "Question 173946: A fisherman in a canoe paddles 14 miles down a stream in the same amount of time that it takes him to paddle 6 miles upstream. If the speed of the current is 2 mph, what is the speed at which the fisherman can paddle in still water? \n" ); document.write( "
Algebra.Com's Answer #128842 by stanbon(75887) ![]() You can put this solution on YOUR website! A fisherman in a canoe paddles 14 miles down a stream in the same amount of time that it takes him to paddle 6 miles upstream. If the speed of the current is 2 mph, what is the speed at which the fisherman can paddle in still water? \n" ); document.write( "------------------------ \n" ); document.write( "Downstream DATA: \n" ); document.write( "distance = 14 miles ; rate = b+2 mph ; time = d/r = 14/(b+2) hrs. \n" ); document.write( "--------------- \n" ); document.write( "Upstream DATA: \n" ); document.write( "distance = 6 miles ; rate = b-2 mph ; time = d/r = 6/(b-2) hrs. \n" ); document.write( "--------------- \n" ); document.write( "EQUATION: \n" ); document.write( "time up = time down \n" ); document.write( "6/(b-2) = 14/(b+2)\r \n" ); document.write( "\n" ); document.write( "6(b+2) = 14(b-2) \n" ); document.write( "6b + 12 = 14b -28 \n" ); document.write( "8b = 40 \n" ); document.write( "b = 5 mph (speed of the boat in still water) \n" ); document.write( "============================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |