document.write( "Question 446098: a person rowed her boat upstream a distance of 5 miles and then back to the starting point. The total time of the trip was 6 hours. If the rate of the current was 2 miles per hour, find the average speed of the boat in still water \n" ); document.write( "

Algebra.Com's Answer #307184 by mananth(16946) $\"\"$ $\"About$

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Boat speed x
\n" ); document.write( "current speed 2
\n" ); document.write( "
\n" ); document.write( "against current x-2 mph
\n" ); document.write( "with current x+ 2 mph
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\n" ); document.write( "Distance= 5 miles
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\n" ); document.write( "Time against + time with = 6 hours
\n" ); document.write( "t=d/r
\n" ); document.write( "Find the roots of the equation by quadratic formula
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\n" ); document.write( "a= 6, b= -10, c= -24,
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\n" ); document.write( "b^2-4ac=100+576
\n" ); document.write( "b^2-4ac=676
\n" ); document.write( "sqrt(676)=26
\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=(10 +26)/12
\n" ); document.write( "x1=3
\n" ); document.write( "x2=(10-26)/12
\n" ); document.write( "x2= -1.33
\n" ); document.write( "Ignore negative value
\n" ); document.write( "3 mph speed of boat in still water
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