document.write( "Question 988612: 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 207 miles apart in 1 hour and 30 minutes. \n" ); document.write( "
Algebra.Com's Answer #609111 by macston(5194)![]() ![]() You can put this solution on YOUR website! The sum of their speeds is: \n" ); document.write( "207mi/1.5hr=138 mph \n" ); document.write( ". \n" ); document.write( "M=Mike's speed; R=rick's speed=M-6mph \n" ); document.write( ". \n" ); document.write( "M+R=138 mph \n" ); document.write( "M+M-6mph=138 mph \n" ); document.write( "2M=144 mph \n" ); document.write( "M=72 mph \n" ); document.write( "ANSWER 1: Mike's speed was 72 mph. \n" ); document.write( ". \n" ); document.write( "R=M-6mph=72mph-6mph=66mph \n" ); document.write( "ANSWER 2: Rick's speed was 66 mph. \n" ); document.write( ". \n" ); document.write( "CHECK: \n" ); document.write( ". \n" ); document.write( "1.5(M)+1.5(R)=207 mi \n" ); document.write( "1.5hr(72mph)+1.5hr(66mph)=207mi \n" ); document.write( "108mi+99mi=207mi \n" ); document.write( "207mi=207mi \n" ); document.write( " \n" ); document.write( " |