The criteria for having to replace ghusl with tayammum is circumstantial, it cannot be applied as a general rule. Thus, if there is some unbearable difficulty or harm due to ghusl in a particular circumstance then tayammum might become permissible. There are six criteria mentioned by the marj’a for this. As far as shortage of time is concerned, it must be that performing ghusl would cause you to miss your prayers (being on time) because the time remaining is too short – then tayammum would be permissible. This does not apply to the time being too short for work or other daily duties.