document.write( "Question 901577: Kent drives his Mazda 114 miles in the same time that it takes Dave to drive his Nissan 100 miles. If Kent averages 7 miles per hour faster than Dave, find their rates. \n" ); document.write( "
Algebra.Com's Answer #546807 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Kent drives his Mazda 114 miles \r \n" ); document.write( "\n" ); document.write( "Dave drives his Nissan 100 miles. \r \n" ); document.write( "\n" ); document.write( "both take same time\r \n" ); document.write( "\n" ); document.write( "Dave speed = x \n" ); document.write( "Kent speed = (x+7)\r \n" ); document.write( "\n" ); document.write( "t=d/r\r \n" ); document.write( "\n" ); document.write( "114/(x+7)= 100/x\r \n" ); document.write( "\n" ); document.write( "114x=100(x+7)\r \n" ); document.write( "\n" ); document.write( "114x=100x+700\r \n" ); document.write( "\n" ); document.write( "114x-100x=700\r \n" ); document.write( "\n" ); document.write( "14x=700 \n" ); document.write( "/4 \n" ); document.write( "x= 50 mph\r \n" ); document.write( "\n" ); document.write( "Dave's speed = 50 mph \n" ); document.write( "Kent's speed = 57 mph \n" ); document.write( " |