document.write( "Question 327892: A river flows at a rate of 4 km./hr. for the length of its scenic route. In order for a boat to travel the 60 km. upriver and then return in a total of 8 hours, how fast must the boat be able to travel in still water? \n" ); document.write( "
Algebra.Com's Answer #234844 by mananth(16946)![]() ![]() You can put this solution on YOUR website! 60/(x-4)+60/(x+4)= 8 \n" ); document.write( "60(x+4)+60(x-4)/ (x^2-16)=8 \n" ); document.write( "60x+240+60x-240=8(x^2-16) \n" ); document.write( "120x=8x^2-128 \n" ); document.write( "add -120x to both sides \n" ); document.write( "120x-120x = 8x^2-120x-128 \n" ); document.write( "8x^2-120x-128=0 \n" ); document.write( "divide by 8 \n" ); document.write( "x^2-15x-16=0 \n" ); document.write( "x^2-16x+x-16=0 \n" ); document.write( "x(x-16)+1(x-16)=0 \n" ); document.write( "(x-16)(x+1)=0 \n" ); document.write( "x= 16 OR -1 ignore negative value \n" ); document.write( "So the speed in still water = 16 \n" ); document.write( " |