document.write( "Question 419040: The current of a river is 2 miles per hour. A boat travels to a point 8 miles upstream and back again in 3 hours. What is the speed of the boat in still water? \n" ); document.write( "
Algebra.Com's Answer #293134 by mananth(16946)![]() ![]() You can put this solution on YOUR website! speed in still water = x \n" ); document.write( "current speed 2 \n" ); document.write( " \n" ); document.write( "upstream speed = x-2 \n" ); document.write( "downstream speed = x+2 \n" ); document.write( " \n" ); document.write( "Distance= 16 miles \n" ); document.write( " \n" ); document.write( "Time upstream + time downstream = 3hours \n" ); document.write( "t=d/r \n" ); document.write( "............ \n" ); document.write( "16/(x+2)+16/(x-2)=3 \n" ); document.write( "LCD = (x-2)(x +2) \n" ); document.write( "16*(x-2)+16(x+2)=3 \n" ); document.write( "16x-32+ 16x+32=3(X^2-4) \n" ); document.write( "32x=3X^2-12 \n" ); document.write( "3X^2-32 x-12=0 \r \n" ); document.write( "\n" ); document.write( "Use the quadratic formula \r \n" ); document.write( "\n" ); document.write( "b^2-4ac= 1168 \n" ); document.write( "x=(32+sqrt(1168))/6 \n" ); document.write( "11.03 mph speed in still water \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |