Spoiler Alert! We have hidden this information so that you have the choice to try it on your own, or have the advantage of knowing how the sausage is made...
Looks like the breakpoint is 35%. You will have to get him below this before hitting with the dart. Keep firing it until you see the Wandering Carrion grow in size. That means he has been tagged, and the quest should update a few seconds later. IF you have a Root (charm, stun, etc) you can use it to freeze him so he cannot interrupt your dart casting.
IF the mob dies after you have tagged it but before transport happens, you lose. Abandon the quest and reacquire.
Daily Quests are repeatable up to a total (for all Daily Quests) of 10 times per day. The count can be reset to zero by purchasing and using a Daily Quest Ticket from the Item Shop (for 39 ($1.16)† ) or from any Phirius Merchant (for 780 ).
This may apply only to the Daily version. Sometimes, no matter what you do, casting the dart will not complete. Sometimes, this means the mob is simply too healthy for transport, and you need to get him to less than 35%. Sometimes, it does not matter how low he is, the dart will fail near the end of the casting time. The only fix we have found is to delete the quest and reacquire.