document.write( "Question 620028: the speed of the boat in still water is 11km/hr.it can go 12km upstream and return downstream to the original point in 2hrs 45min. find the speed of the stream. \n" ); document.write( "
Algebra.Com's Answer #389879 by lwsshak3(11628) ![]() You can put this solution on YOUR website! the speed of the boat in still water is 11km/hr.it can go 12km upstream and return downstream to the original point in 2hrs 45min. find the speed of the stream. \n" ); document.write( "** \n" ); document.write( "let x=speed of stream \n" ); document.write( "11+x=speed of boat downstream \n" ); document.write( "11-x=speed of boat upstream \n" ); document.write( "2 hr and 45 min=2.75 hr \n" ); document.write( "Travel time=distance/speed \n" ); document.write( "** \n" ); document.write( "12/(11+x)+12/(11-x)=2.75 \n" ); document.write( "LCD:(11+x)(11-x) \n" ); document.write( "12(11-x)+12(11+x)=2.75(11+x)(11-x)=2.75(121-x^2)=332.75-2.75x^2 \n" ); document.write( "132-12x+132+12x=332.75-2.75x^2 \n" ); document.write( "264=332.75-2.75x^2 \n" ); document.write( "2.75x^2=332.75-264=68.75 \n" ); document.write( "x^2=68.75/2.75=25 \n" ); document.write( "x=5 \n" ); document.write( "speed of stream= 5 km/hr \n" ); document.write( " |