document.write( "Question 696828: The speed of the boat in still water is 15km/hr.It can go 30 km upstream and return to down stream in 41/2hrs.find the speed of the stream. \n" ); document.write( "
Algebra.Com's Answer #429422 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! The speed of the boat in still water is 15km/hr.It can go 30 km upstream and return to down stream in 41/2hrs.find the speed of the stream. \n" ); document.write( "** \n" ); document.write( "let x=speed of stream \n" ); document.write( "(15+x)=speed of boat downstream \n" ); document.write( "(15-x)=speed of boat upstream \n" ); document.write( "travel time=distance/speed \n" ); document.write( "30/(15+x)+30/(15-x)=9/2 \n" ); document.write( "60/(15+x)+60/(15-x)=9 \n" ); document.write( "LCD: (15+x)(15-x) \n" ); document.write( "60(15-x)+60(15+x)=9(15+x)(15-x) \n" ); document.write( "60(15-x+15+x)=9(225-x^2) \n" ); document.write( "60(30)=2025-9x2 \n" ); document.write( "9x^2=2025-1800 \n" ); document.write( "9x2=225 \n" ); document.write( "take sqrt of both sides \n" ); document.write( "3x=15 \n" ); document.write( "x=5 \n" ); document.write( "speed of stream=5 km/hr\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |