document.write( "Question 600811: A boat travels 8 km upstream and 8 km back. The time for the round trip is 2 hrs. The speed of the stream is 4 km/hr. What is the speed of the boat in still water? \n" ); document.write( "
Algebra.Com's Answer #379502 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Boat speed x mph \n" ); document.write( "current speed 4 mph \n" ); document.write( " \n" ); document.write( "against current x- 4 mph \n" ); document.write( "with current x+ 4 mph \n" ); document.write( " \n" ); document.write( "Distance= 8 miles \n" ); document.write( " \n" ); document.write( "Time against + time with =2 hours \n" ); document.write( "t=d/r \n" ); document.write( " \n" ); document.write( "8/(x+4) +8/(x-4)= 2 \n" ); document.write( " \n" ); document.write( "LCD =(x-4)(x+4) \n" ); document.write( "8*(x-4) +8(x+4) =2(x^2-16) \n" ); document.write( "8x-32+8x+32=2(x ^2-16) \n" ); document.write( "16 x = 2 x ^2 -32 \n" ); document.write( "2 x ^2 - -16 x - 32 =0 \n" ); document.write( "divide by 2 \n" ); document.write( "x^2-8x-16=0 \n" ); document.write( " \n" ); document.write( "Find the roots of the equation by quadratic formula \n" ); document.write( " \n" ); document.write( "a= 1 , b= -8 , c= -16 \n" ); document.write( " \n" ); document.write( "b^2-4ac= 64 + 64 \n" ); document.write( "b^2-4ac= 128 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "x1=( 8 + 11.31 )/ 2 \n" ); document.write( "x1= 9.66 \n" ); document.write( " \n" ); document.write( "x2=( 8 -11.31 ) / 2 \n" ); document.write( "x2= -1.66 \n" ); document.write( "Ignore negative value \n" ); document.write( "Boat speed 9.66 mph \n" ); document.write( " \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |