Encounter on a bridge

On a foggy night, a passenger car and a truck meet on a bridge which is so narrow that the two vehicles can neither pass nor turn. The car has proceeded twice as far onto the bridge as the truck. But the truck has required twice as much time as the car to reach this point. Each vehicle has only half its forward speed when it is run in reverse. Now, which of the two vehicles should back up to allow both of them to get over the bridge in minimum time ?

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