document.write( "Question 898220: A barge traveling down a river covers a distance of 36 miles in 4 hours. It would have traveled the same distance in 6 hours if it had been traveling upstream against the current. What is the speed of the river current? \n" ); document.write( "
Algebra.Com's Answer #544709 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! A barge traveling down a river covers a distance of 36 miles in 4 hours. It would have traveled the same distance in 6 hours if it had been traveling upstream against the current. What is the speed of the river current? \n" ); document.write( "*** \n" ); document.write( "let x=speed of barge in still water \n" ); document.write( "x+c=speed of boat downstream \n" ); document.write( "x-c=speed of boat upstream \n" ); document.write( "travel time*speed=distance \n" ); document.write( ".. \n" ); document.write( "4(x+c)=36 \n" ); document.write( "6(x-c)=36 \n" ); document.write( ".. \n" ); document.write( "4x+4c=36 \n" ); document.write( "6x-6c=36 \n" ); document.write( ".. \n" ); document.write( "12x+12c=108 (mult. by 3) \n" ); document.write( "12x-12c=72 (mult. by 2) \n" ); document.write( "subtract: \n" ); document.write( "24c=36 \n" ); document.write( "c=36/24=3/2=1.5 \n" ); document.write( "speed of the river current=1.5 mph \n" ); document.write( " |