# 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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