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)\"\" \"About 
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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
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\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.
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\n" ); document.write( "R=M-6mph=72mph-6mph=66mph
\n" ); document.write( "ANSWER 2: Rick's speed was 66 mph.
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\n" ); document.write( "CHECK:
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\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
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