document.write( "Question 347407: A boat travels 12 miles up the Mississippi River and 12 miles back down river in a total of eight hours. The rate of the boat in still water is four miles per hour. Find the speed of the current. \n" ); document.write( "
Algebra.Com's Answer #248409 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let speed of current be xmph \n" ); document.write( "downstream speed = x+4 mph \n" ); document.write( "upstream speed = 4-x mph\r \n" ); document.write( "\n" ); document.write( "Time downstream = 12/(x+4) \n" ); document.write( "Time upstream = 12/(4-x) \n" ); document.write( ".... \n" ); document.write( "12/(x+4)+12/(4-x)=8 \n" ); document.write( "LCD = (x+4)(4-x) \n" ); document.write( "12(4-x)+12(x+4)/(x+4)(4-x)=8 \n" ); document.write( "-12x+48+12x+48 = 8(16-x^2) \n" ); document.write( "96=128 8x^2 \n" ); document.write( "8x^2=128-96 \n" ); document.write( "8x^2=32 \n" ); document.write( "x^2=4 \n" ); document.write( "x= 2 mph the current speed. \n" ); document.write( " |