Getting rid of a wart using duct tape can take as long as 2 months.
So you need to apply the duct tape and then after 6 days remove the duct tape and soak the wart in water and then rub the wart with an emery board or pumice stone.
Then leave the duct tape off for around 12 hours and then apply a new piece of duct tape and leave it on for another 6 days to a week and then repeat the same process over and over until it goes away.
A better option is to buy a wart remover freeze off kit to freeze the wart off sooner instead of waiting for a few months for the wart to go away.
You can also use apple cider vinegar on a wart by soaking a cotton ball with apple cider vinegar and then tape the soaked cotton ball to your wart and leave it on all day or overnight.
It can then take around a week or two weeks to see the wart go away.