The average speed of the scooter is 60 km/h.
Speed is the ratio of the total distance to total time. It is given by:
Speed = distance / time
Let s represent the average speed of the scooter and t represent the time. Hence:
s = 60/t
t = 60/s
For the car:
s + 30 = 60/(t - 1/3)
(s + 30)(60/s - 1/3) = 60
60 - s/3 + 1800/s - 10 = 60
s² + 30s - 5400 = 0
s = 60 km/h
The average speed of the scooter is 60 km/h.
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