document.write( "Question 4967: A canoeist paddled 4 hours with a 6=km/h current to reach a campsite. The return trip against the same current took 10 hours. Find the speed of the canoe in still water. \n" ); document.write( "
Algebra.Com's Answer #2472 by Abbey(339)![]() ![]() ![]() You can put this solution on YOUR website! let the rate of paddling on the trip there = x+6km \n" ); document.write( "Let the rate returning =x-6km\r \n" ); document.write( "\n" ); document.write( "the distance is the same both ways, \n" ); document.write( "using rate*time=distance, we have two equations: \n" ); document.write( "(x+6)*4=d \n" ); document.write( "(x-6)*10=d \n" ); document.write( "Set them equal to one another, \n" ); document.write( "(x+6)*4=(x-6)*10 \n" ); document.write( "4x+24=10x-60 \n" ); document.write( "subtract 4x and add 60 to both sides: \n" ); document.write( "84=6x \n" ); document.write( "divide by 6 \n" ); document.write( "14=x\r \n" ); document.write( "\n" ); document.write( "the canoe traveled 14mph in still water. \n" ); document.write( " |