Generally speaking a chick should progress to external pip within 24 hours, but I have heard of chicks taking longer and I have seen chicks progress and hatch much sooner. If you are concerned about your chick and suspects it may be unable to pip externally, candle the egg and check for movement and mark the air cell line with a pencil while you are at it. Then take a sharp object and carefully score an X either close to where you saw the chick's beak or right at the end of the egg, just make sure it is above the air cell line, in the clear space and well clear of the inner membrane. Keep scoring it over and over until you can get through the shell then carefully make a small hole with a pair of tweezers. It really only needs to be pea sized. This little vent hole will get some fresh air in there for the chick, which is all it needs now. That and time. After creating this "breathing hole" the chick will need to rest again and finish absorbing the yolk sac and blood in the inner membrane, so resist the temptation to help further and replace the egg in the incubator, get the humidity up to 65-70% and leave it there. It will hopefully progress on it's own.
There are a few reasons chicks progress this far and then die. Most of the time it is due to incorrect humidity settings during incubation (too high), incubation temperature too low, or too high at lockdown, inadequate ventilation during the final stages of incubation when the chicks need extra oxygen, rough handling of the egg during incubation (for example when turning), eggs stored too long pre-incubation, inadequate turning of the eggs during incubation, it may be hereditary or due to a breeder disease even. It is frustrating when this happens, so I hope you can pinpoint the cause and save your chick(s).