document.write( "Question 639372: Rick and Mike are roommates and leave Gainesville on Interstate 75 at the same time to visit their girlfriends for a long weekend. Rick travels north and Mike travels south. If Mike's average speed is 6 mph faster than Rick's, find the speed of each if they are 213 miles apart in 1 hour and 30 minutes.
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #402706 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Rick's speed x mph \n" ); document.write( "Mike's speed = x+ 6 mph \n" ); document.write( ".. \n" ); document.write( "They are moving away from each other \n" ); document.write( " \n" ); document.write( "So add up their speed. \n" ); document.write( " \n" ); document.write( "combined speed = x+ 1 x + 6 \n" ); document.write( "( 2 x + 6 ) \n" ); document.write( "Time = 1.5 hours \n" ); document.write( "Distance = 213 miles \n" ); document.write( "Distance = speed * time \n" ); document.write( "( 2 x 6 )* 1.5 = 213 \n" ); document.write( "3.00 x + 9 = 213 \n" ); document.write( "3 x = 213 + -9 \n" ); document.write( "3 x = 204 \n" ); document.write( "/ 3 \n" ); document.write( "x= 68 mph \n" ); document.write( "Rick's speed = 68 mph \n" ); document.write( "Mike's speed = 68 + 6 = 74 mph \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |