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)\"\" \"About 
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Boat speed x mph
\n" ); document.write( "current speed 4 mph
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\n" ); document.write( "against current x- 4 mph
\n" ); document.write( "with current x+ 4 mph
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\n" ); document.write( "Distance= 8 miles
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\n" ); document.write( "Time against + time with =2 hours
\n" ); document.write( "t=d/r
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\n" ); document.write( "8/(x+4) +8/(x-4)= 2
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\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
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\n" ); document.write( "Find the roots of the equation by quadratic formula
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\n" ); document.write( "a= 1 , b= -8 , c= -16
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\n" ); document.write( "b^2-4ac= 64 + 64
\n" ); document.write( "b^2-4ac= 128
\n" ); document.write( "\"%09sqrt%28%09128%09%29=%0911.31%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=( 8 + 11.31 )/ 2
\n" ); document.write( "x1= 9.66
\n" ); document.write( "\"x2=%28-b-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"
\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
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\n" ); document.write( "m.ananth@hotmail.ca
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