document.write( "Question 787013: You and your friend part at an intersection. You drive off north at a constant speed, and your friend drives east at a speed that is 6 mph higher. After 2 hours the distance between you and your friend is 161.44 miles. You have been driving at _______________mph. (Round to the nearest mile). \n" ); document.write( "
Algebra.Com's Answer #478037 by mananth(16946)![]() ![]() You can put this solution on YOUR website! I am driving at x mph \n" ); document.write( "friend is driving at (x+6) mph\r \n" ); document.write( "\n" ); document.write( "After 2 hours\r \n" ); document.write( "\n" ); document.write( "you have driven 2x miles \n" ); document.write( "your friend 2(x+6) miles\r \n" ); document.write( "\n" ); document.write( "I , my friend and the starting point form a right triangle \r \n" ); document.write( "\n" ); document.write( "Apply Pythagoras theorem\r \n" ); document.write( "\n" ); document.write( "(2x)^2+(2(x+6))^2=161.44^2\r \n" ); document.write( "\n" ); document.write( "4x^2+4(x^2+12x+36)=161.44^2\r \n" ); document.write( "\n" ); document.write( "4x^2+4x^2+48x+144=26062.87\r \n" ); document.write( "\n" ); document.write( "8x^2+48x=26,062.87-144\r \n" ); document.write( "\n" ); document.write( "8x^2+48x-25918.87=0\r \n" ); document.write( "\n" ); document.write( "a= 8 , b= 48 , c= -25918.87 \n" ); document.write( " \n" ); document.write( "b^2-4ac= 2304 + 829403.84 \n" ); document.write( "b^2-4ac= 831707.84 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "x1=( -48 + 911.98 )/ 16 \n" ); document.write( "x1= 54.00 \n" ); document.write( " \n" ); document.write( "x2=( -48 -911.98 ) / 16 \n" ); document.write( "x2= -60.00 \n" ); document.write( "Ignore negative value \n" ); document.write( " speed 54 mph \n" ); document.write( " \n" ); document.write( "m.ananth@hotmail.ca \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |