document.write( "Question 320853: A boat traveled 336 miles downstream and back. The trip downstream took 12 hours. The trip back took 14 hours. What is the speed of the boat in still water? What is the speed of the current?
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #229780 by mananth(16946)![]() ![]() You can put this solution on YOUR website! A boat traveled 336 miles downstream and back. \n" ); document.write( "downstream took 12 hours. \n" ); document.write( "trip back took 14 hours. \n" ); document.write( ".. \n" ); document.write( "let speed of boat be x mph \n" ); document.write( "let pseed o f current be y mph \n" ); document.write( ".. \n" ); document.write( "downstream\r \n" ); document.write( "\n" ); document.write( "336/ x+y= 12 \n" ); document.write( "12(x+y)=336 \n" ); document.write( "12x+12y=336 \n" ); document.write( "x+y=28.......equation 1 \n" ); document.write( "upstream \n" ); document.write( "336/x-y=14 \n" ); document.write( "336=14x-14y \n" ); document.write( "x-y=24........equation2 \n" ); document.write( "Add equation 1 & 2 \n" ); document.write( "x+y+x-y=28+24 \n" ); document.write( "2x=52 \n" ); document.write( "x=26 mph the speed of boat \n" ); document.write( "plug the value of x in eq 2 \n" ); document.write( "26-y=24 \n" ); document.write( "y=2 mph the speed of current \n" ); document.write( " \n" ); document.write( " |