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Keiko bicycles 8 km per hour faster than Robert In the same time it takes Robert to bicycle 48 km Keiko can bicycle 72 km How fast does each bicyclist travel?
Guinavere
Suppose Robert cycles at R km per hour. Then Keiko cycles at R+8 km/h.
Time taken = Distance/Speed = 48/R = 72/(R+8)
Cross multiplying: 48*(R+8) = 72*R
ie 48R + 384 = 72R
so that 24R = 384 so that R = 384/24 = 16 km/h
and then K = R+8 = 24 km/h
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