document.write( "Question 394645: Bill can row 3mph in still water. It takes him 3 hours 36 minutes to go 3 miles upstream and return. Find the speed of the current. \n" ); document.write( "
Algebra.Com's Answer #279974 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Bill can row 3mph in still water. It takes him 3 hours 36 minutes to go 3 miles upstream and return. Find the speed of the current.\r \n" ); document.write( "\n" ); document.write( "change 3 hours and 36 minutes to 3 and 3/5 of an hour = 3.6 hour \n" ); document.write( "let x=speed of current \n" ); document.write( "downstream speed = 3+x \n" ); document.write( "upstream speed = 3-x \n" ); document.write( "time=distance/speed\r \n" ); document.write( "\n" ); document.write( "3/(3+x)+3/(3-x)=3.6 \n" ); document.write( "3(3-x)+3(3+x) =3.6(3-x)(3+x) \n" ); document.write( "9-3x+9+3x=3.6(9-x^2) \n" ); document.write( "18=32.4-3.6x^2 \n" ); document.write( "3.6x^2=32.4-18=14.4 \n" ); document.write( "x^2=14.4/3.6=4 \n" ); document.write( "x=sqrt(4)=2 mph or-2 mph(reject)\r \n" ); document.write( "\n" ); document.write( "ans: The speed of the current is 2 mph \n" ); document.write( " |