document.write( "Question 905379: During his semester break, Zack went on a road trip from Berlin to Prague. He travelled part of the journey at a speed of 90 km/h and the rest at 80 km/h. Given that Zack travelled a total distcance of 690 km in 8 hours, form a pair of simultaneous equations to find the distance that he covered at 80 km/h.
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #549258 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! He travelled part of the journey at a speed of 90 km/h and the rest at 80 km/h. \n" ); document.write( " Given that Zack travelled a total distance of 690 km in 8 hours, form a pair of simultaneous equations to find the distance that he covered at 80 km/h. \n" ); document.write( ": \n" ); document.write( "let x = time at 80 km/hr \n" ); document.write( "let y = time at 90 \n" ); document.write( ": \n" ); document.write( "x + y = 8 \n" ); document.write( "and \n" ); document.write( "80x + 90y = 690 \n" ); document.write( "Simplify, divide eq by 10 \n" ); document.write( "8x + 9y = 69 \n" ); document.write( ": \n" ); document.write( "Multiply the 1st equation by 9, subtract the above equation \n" ); document.write( "9x + 9y = 72 \n" ); document.write( "8x + 9y = 69 \n" ); document.write( "--------------Subtractions eliminates y, find x \n" ); document.write( "x = 3 hrs at 80 km/hr \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "I'll let you confirm this, find y and check these values for x and y in both original equations \n" ); document.write( " |