document.write( "Question 560057: During the first part of a trip a canoeist travels 45 miles at a certain speed. The canoeist travels 10 miles on the second part of the trip at a speed of 5 mph slower. The total time for the trip is 2 hours what was the speed on each part of the trip? \n" ); document.write( "
Algebra.Com's Answer #363770 by mananth(16946)\"\" \"About 
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First part speed = x mph -- 45 miles
\n" ); document.write( "second part -x-5 mph ------10 miles \r
\n" ); document.write( "\n" ); document.write( "time first part + time second part = 2 hours\r
\n" ); document.write( "\n" ); document.write( "t=d/r
\n" ); document.write( "45/x + 10/(x-5)= 2\r
\n" ); document.write( "\n" ); document.write( "LCD = x(x-5)
\n" ); document.write( "45(x-5)+10x=2x(x-5)
\n" ); document.write( "45x-225+10x=2x^2-10x
\n" ); document.write( "2x^2-65x+225=0
\n" ); document.write( "Find the roots of the equation by quadratic formula
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\n" ); document.write( "a= 2 b= -65 c= 225
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\n" ); document.write( "b^2-4ac= 4225 - -1800
\n" ); document.write( "b^2-4ac= 2425 \"sqrt%28%092425%09%29\"= 49.24
\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=( 65 + 49.24 )/ 4
\n" ); document.write( "x1= 28.56
\n" ); document.write( "x2=( 65 -49.24 ) / 4
\n" ); document.write( "x2= 3.94 \r
\n" ); document.write( "\n" ); document.write( "first part speed = 28.56 mph
\n" ); document.write( "second part = 28.56-5= 23.56 mph\r
\n" ); document.write( "\n" ); document.write( "m.ananth@hotmail.ca
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