Is giving charity with the intention of repairing a car and discharging one's responsibility sufficient, given the inability to communicate with its owner?

Donating money on behalf of its owner occurs when there is despair of reaching them. The questioner could have photographed the car's license plate number to inquire about its owner through the competent authorities. If reaching them becomes impossible, then one's responsibility is absolved by donating the money owed to them. If there is more than one repair price, the questioner should donate the lowest price, as that is the certain amount. If they donate more, that is good.