An algebra problem by Quan Hong

Algebra Level pending

A car has traveled from point \(A\) to point \(B\) along a motorcycle. The motorcyle's velocity has been \(32\text{ km/h}\). On the first half of the trip, the car has traveled in \(48\text{ km/h}\). On the second half of the trip, the car speeded up into \(58\text{ km/h}\). After 1 hour, the car caught up the motorcycle. How long is the road \(AB\) (in km)?

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