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)![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( " \n" ); document.write( "a= 2 b= -65 c= 225 \n" ); document.write( " \n" ); document.write( "b^2-4ac= 4225 - -1800 \n" ); document.write( "b^2-4ac= 2425 \n" ); document.write( " \n" ); document.write( " \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 \n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |