SOLUTION: Elaina bicycles 4km/h faster than Robert. In the same time it takes Robert to bicycle 30 km, Elaina can bicycle 42 km. How fast does each bicyclist travel?

Question 429891: Elaina bicycles 4km/h faster than Robert. In the same time it takes Robert to bicycle 30 km, Elaina can bicycle 42 km. How fast does each bicyclist travel?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Elaina bicycles 4km/h faster than Robert. In the same time it takes Robert to bicycle 30 km, Elaina can bicycle 42 km. How fast does each bicyclist travel?
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Robert DATA:
rate = x km/h ; dist = 30 km ; time = 30/x hr
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Elaina DATA:
rate = (x+4)km/h ; dist = 42 km ; time = 42/(x+4) hr
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Equation:
time = time
30/x = 42/(x+4)
30(x+4) = 42x
12x = 120
x = 10 km/h (Robert's rate)
x+4 = 14 km/h (Elaina's rate)
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Cheers,
Stan H.
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