SOLUTION: Maria bicycles 6km/h faster than Carlos. In the same time it takes Carlos to bicycle 33km, Maria can bicycle 51km. How fast does each person travel?
Carlos:
Maria:
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Question 296249: Maria bicycles 6km/h faster than Carlos. In the same time it takes Carlos to bicycle 33km, Maria can bicycle 51km. How fast does each person travel?
Carlos:
Maria:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Maria bicycles 6km/h faster than Carlos.
In the same time it takes Carlos to bicycle 33km, Maria can bicycle 51km.
How fast does each person travel?
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Carlos DATA:
distance = 33 km ; rate = x km/hr ; time = d/r = 33/x hrs
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Maria DATA:
distance = 51 km ; rate = x+6 km/hr ; time = 51/(x+6) hrs
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Equation:
distance = distance
33/x = 51/(x+6)
33x + 33*6 = 51x
18x = 6*33
x = (6/18)(33)
x = 11 km/hr (Carlos rate)
x+6 = 17 km/hr (Marian rate)
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Cheers,
Stan H.
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