document.write( "Question 912273: a boat traveled 170 miles downstream and back. the trip downstream took 10 hours. the trip back took 34 hours. what is the speed of the boat in still water? what is the speed of the current? \n" ); document.write( "
Algebra.Com's Answer #553691 by lwsshak3(11628) ![]() You can put this solution on YOUR website! boat traveled 170 miles downstream and back. the trip downstream took 10 hours. the trip back took 34 hours. what is the speed of the boat in still water? what is the speed of the current? \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( "10*(x+c)=170 \n" ); document.write( "34(x-c)=170 \n" ); document.write( "... \n" ); document.write( "10x+10c=170 \n" ); document.write( "34x-34c=170 \n" ); document.write( ".. \n" ); document.write( "34x+34c=578 (mult. eq by 3.4) \n" ); document.write( "34x-34c=170 \n" ); document.write( "subtract \n" ); document.write( "68c=408 \n" ); document.write( "c=6 \n" ); document.write( "what is the speed of the current? 6 mph \n" ); document.write( "c=6.04 \n" ); document.write( " |