document.write( "Question 199340: Fred paddled for 5 hours with a 6km/hr current to reach a campsite. The return trip against the same current took 10 hours. Find the speed of Fred's canoe in still water. \n" ); document.write( "
Algebra.Com's Answer #149793 by RAY100(1637)![]() ![]() ![]() You can put this solution on YOUR website! Let x = velocity in still water \n" ); document.write( ". \n" ); document.write( "Distance = Velocity * Time \n" ); document.write( ". \n" ); document.write( "D1 = (x+6) 5 = 5x +30 \n" ); document.write( ". \n" ); document.write( "D2 = (x-6) 10 = 10x -60 \n" ); document.write( ". \n" ); document.write( "but D1 = D2 \n" ); document.write( ". \n" ); document.write( "5x +30 = 10x -60 \n" ); document.write( ". \n" ); document.write( "90 = 5x \n" ); document.write( ". \n" ); document.write( "18 = x \n" ); document.write( ". \n" ); document.write( "checking \n" ); document.write( ". \n" ); document.write( "(18 +6) * 5 = (18-6) 10 \n" ); document.write( ". \n" ); document.write( "120 =120,,,,ok \n" ); document.write( " |