document.write( "Question 901866: A boat can travel six miles downstream in 40 minutes. The return trip requires an hour. Find the rate of the boat in still water. \n" ); document.write( "
Algebra.Com's Answer #546991 by lwsshak3(11628) ![]() You can put this solution on YOUR website! A boat can travel six miles downstream in 40 minutes. The return trip requires an hour. Find the rate of the boat in still water. \n" ); document.write( "*** \n" ); document.write( "let x=speed of boat in still water \n" ); document.write( "let c=speed of current \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( "40 min=2/3 hr \n" ); document.write( "2/3*(x+c)=6 \n" ); document.write( "1*(x-c)=6 \n" ); document.write( ".. \n" ); document.write( "2x+2c=18 \n" ); document.write( "x-c=6 \n" ); document.write( ".. \n" ); document.write( "2x+2c=18 \n" ); document.write( "2x-2c=12 \n" ); document.write( "add \n" ); document.write( "4x=30 \n" ); document.write( "x=7.5 \n" ); document.write( "c=x-6=1.5 \n" ); document.write( "rate of the boat in still water=7.5 mph \n" ); document.write( " |