How to reset Time.time ?

Please help.. My scenario is display CustomerA(prefab) which have a timer script in object, after i click a CustomerA, it's will destroy and display againt CustomerA in random time and timer countdown againt from beginning..

I already create a script called CustomerTimer.cs which attached to CustomerA to make countdown timer in it

CustomerTimer.cs

 private void Update () 
 {
     if(!stopTime)
     {
        countDownTime();
     }
 }
 
 private void countDownTime()
 {        
     timesRemaining = startingCountDownTimer - Time.time;
     percent = timesRemaining / startingCountDownTimer * 100;//calculate percent
     setSprite(percent);//if percent is 0 then object will be destroy automaticly        
 }

Object will be destroy if i click on an object and object will be appear again in random time.

For example if starting count down from 45 second and object destroy at second 20 (timesRemaining = 45-20 = 15) then after object respawn again a new game object timesRemaining will be start from 15 because Time.time is not reset from 1 again

Can i reset a Time.time but in one game object only ? I know the problem but i don't know how to solve it..

Sorry for my bad English.. Thanks