document.write( "Question 942720: Maureen can run at a rate that is 2 miles per hour faster than her friend Hector's rate. While training for a mini marathon, Maureen gives Hector a half-hour head start and then begins chasing Hector on the same route. If Maureen passes Hector 12 miles from the starting point, how fast is each running?
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Algebra.Com's Answer #574721 by MathTherapy(10552) $\"\"$ $\"About$

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\n" ); document.write( "Maureen can run at a rate that is 2 miles per hour faster than her friend Hector's rate. While training for a mini marathon, Maureen gives Hector a half-hour head start and then begins chasing Hector on the same route. If Maureen passes Hector 12 miles from the starting point, how fast is each running?
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document.write( "Let Maureen’s speed be S
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document.write( "Then Hector’s is: S - 2
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document.write( "Since she passed Hector 12 miles from the starting point and with Hector getting a ½ hr head start,
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document.write( "we get: 
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document.write( "12(2)(S – 2) – S(S – 2) = 12(2S) ---- Multiplying by LCD, 2S(S – 2)
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document.write( "(S - 8)(S + 6) = 0
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document.write( "S, or Maureen’s speed =  mph                OR                S = - 6 (ignore)
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document.write( "Hector’s speed: 8 – 2, or  mph \n" );
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