document.write( "Question 1179657: the current in the ogeechee river flowed at 5 miles per hour. the boat could go 160 miles downstream in twice the time it took to go 40 miles upstream. what was the speed of the boat in still water, and what were the times? \n" ); document.write( "
Algebra.Com's Answer #809229 by mananth(16946)![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( "\n" ); document.write( "the current in the ogeechee river flowed at 5 miles per hour. the boat could go 160 miles downstream in twice the time it took to go 40 miles upstream. what was the speed of the boat in still water, and what were the times?\r \n" ); document.write( "\n" ); document.write( "speed of boat in still water =x mph \n" ); document.write( "current speed = 5mph\r \n" ); document.write( "\n" ); document.write( "with current (x+5) mph====> 160 miles \n" ); document.write( "against current speed (x-5)mph=====> 40 miles\r \n" ); document.write( "\n" ); document.write( "160/(x+5) = 2*40/(x-5)\r \n" ); document.write( "\n" ); document.write( "2/(x+5) = 1/(x-5)\r \n" ); document.write( "\n" ); document.write( "2(x-5) =x+5 \n" ); document.write( "2x-10=x+5 \n" ); document.write( "x=15 mph speed of boat in still water\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |