SOLUTION: Elena bicycles 7 km/h faster than Carlos. In the same time it takes Carols to bicycle 48 km, Elena can bicycle 69 km. How fast does each bicyclist travel?

Question 508075: Elena bicycles 7 km/h faster than Carlos. In the same time it takes Carols to bicycle 48 km, Elena can bicycle 69 km. How fast does each bicyclist travel?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Elena bicycles 7 km/h faster than Carlos. In the same time it takes Carlos to bicycle 48 km, Elena can bicycle 69 km. How fast does each bicyclist travel?
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Carlos DATA:
distance = 48 km ; rate = r km/hr ; time = d/r = 48/r hrs.
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Elena DATA:
distance = 69 km ; rate = r+7 km/hr ; time = d/r = 69/(r+7) hrs.
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Equation:
time = time
48/r = 69/(r+7)
48(r+7) = 69r
48r + 48*7 = 69r
21r = 48*7
r = 16 km/hr (Carlos's rate)
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r+7 = 23 km/hr (Elena's rate)
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Cheers,
Stan H.
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