<PRE><B>Question 792404</B>
To travel 88 miles, it takes Sue, riding a moped, 4 hours less time than it takes Doreen to travel 56 miles riding a bicycle. Sue travels 15 miles per hour faster than Doreen. Find the times and rates of both girls.
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Sue DATA:
distance = 88 miles; x-4 hrs ; rate = 88/(x-4) hours
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Doreen DATA:
distance = 56 miles; x hrs ; rate = 56/x hours
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Equation:
88/(x-4) - 56/x = 15 mph
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88x - 56(x-4) = 15x(x-4)
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88x - 56x + 56*4 = 15x^2 - 60x
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32x + 224 = 15x^2-60x
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15x^2 - 92x - 224 = 0
x = 8 hours
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Etc.
Cheers,
Stan .
 
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