document.write( "Question 497459: a boat travel 10 kilometer. upstream and 10 kilometer. back. the trip upstream and back takes 1.5 hours. If the speed of the current is 5 kilometer. per hour what is the speed of the boat in still water \n" ); document.write( "
Algebra.Com's Answer #336736 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Boat speed x \n" ); document.write( "current speed 5 \n" ); document.write( " \n" ); document.write( "against current x- 5 kph \n" ); document.write( "with current x+ 5 kph \n" ); document.write( " \n" ); document.write( "Distance= 10 km \n" ); document.write( " \n" ); document.write( "Time against + time with = 1.5 hours\r \n" ); document.write( "\n" ); document.write( "10 /( x + 5 ) + 10 /(x - 5 ) = 1.5 \n" ); document.write( " \n" ); document.write( "LCD = (x - 5 ) ( x + 5 ) \n" ); document.write( "10 *( x - 5 ) + 10 (x + 5 ) = 1.5 \n" ); document.write( "10 x - 50 + 10 x + 50 = 1.5 ( x ^2 - 25 ) \n" ); document.write( "20 x = 1.5 x ^2 - 37.5 \n" ); document.write( "1.5 x ^2 - -20 x - 37.5 \n" ); document.write( " \n" ); document.write( "Find the roots of the equation by quadratic formula \n" ); document.write( " \n" ); document.write( "a= 1.5 , b= -20 , c= -37.5 \n" ); document.write( " \n" ); document.write( "b^2-4ac= 400 + 225 \n" ); document.write( "b^2-4ac= 625 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "x1=( 20 + 25 )/ 3 \n" ); document.write( "x1= 15 \n" ); document.write( "x2=( 20 -25 ) / 3 \n" ); document.write( "x2= -1.67 \n" ); document.write( "Ignore negative value \n" ); document.write( "15 mph=speed of boat\r \n" ); document.write( "\n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |