بسم الله الرحمن الرحيم
If you do not have time to an extent in which you could make wudhu and perform salah with wudhu then you are ma’zur (excused person) as per the Shariah. You should make wudhu after the time of salah starts and offer salah; you may offer salah though madhi keeps on coming out. Your salah shall be valid in this case as well.
Allah knows Best!
Darul Uloom Deoband
This answer was collected from the official ifta website of Darul Uloom Deoband in India.