document.write( "Question 875422: Jose rode his boat 4 kilometers up a stream and then returned the same distance. The current in the stream was flowing at a speed of 3 km/h. If the round trip took JOse 1 hour and 20 minutes, find speed of his boat in still water. \n" ); document.write( "
Algebra.Com's Answer #528160 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
boat speed x km/h Time forward + time return = hours
\n" ); document.write( "current speed 3 km/h
\n" ); document.write( "
\n" ); document.write( "against current x- 3 km/h
\n" ); document.write( "with current x+ 3 km/h
\n" ); document.write( "
\n" ); document.write( "Distance= 4 miles
\n" ); document.write( "
\n" ); document.write( "Time against + time with = 5/3 hours
\n" ); document.write( "t=d/r
\n" ); document.write( "
\n" ); document.write( "4 /( x + 3 ) + 4 /(x - 3 ) = 5/3
\n" ); document.write( "
\n" ); document.write( "LCD = (x - 3 ) ( x + 3 )
\n" ); document.write( "4 *( x - 3 ) + 4 (x + 3 ) = 5/3 (x^2 - 9 )
\n" ); document.write( "4 x - -12 + 4 x + 12 = 5/3 ( x ^2 - 9 )
\n" ); document.write( "8 x = 5/3 x ^2 -15
\n" ); document.write( "5/3 x ^2 -8 x - 15 = 0\r
\n" ); document.write( "\n" ); document.write( "5x^2-24x-45=0\r
\n" ); document.write( "\n" ); document.write( "Find the roots of the equation by quadratic formula
\n" ); document.write( "
\n" ); document.write( "a= 5 , b= -24 , c= -45
\n" ); document.write( "
\n" ); document.write( "b^2-4ac= 576 + 900
\n" ); document.write( "b^2-4ac= 1476
\n" ); document.write( "\"%09sqrt%28%091476%09%29=%0938.42%09\"
\n" ); document.write( "\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"
\n" ); document.write( "\"x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29\"
\n" ); document.write( "x1=( 24 + 38.42 )/ 10
\n" ); document.write( "x1= 6.24
\n" ); document.write( "\"x2=%28-b-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"
\n" ); document.write( "x2=( 24 -38.42 ) / 10
\n" ); document.write( "x2= -1.44
\n" ); document.write( "Ignore negative value
\n" ); document.write( "boat speed 6.242 km/h
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" );