It took nearly an hour from the plane landing to exiting the terminal building. We were taken by bus to the entrance to the security zone/passport control. We coild not actually enter the building due to the queue for passport control. When we finally reached the end of the queue nothing was moving, what was worse you could see the snake of said queue going along a passage and then returning on the other side of the window. Nothing was moving for five or ten minutes then slowly, bery slowly, we started to advance towards the passport control booths, it took perhaps 25-30 minutes to reach the hall. They Border Force had all it booths open but was just swamped by the number of arrivals, we were told 5 aircraft had arrived in the space of ten minutes. Now this is either bad planning by the airport authorities for allowing so many aircarft at the same time or by the Border Force for not having all their booths open until the queue had reached its enormous length. I have trid to find out if Leeds is installing e-gates to no avail. TBF the outgoing security checks were very efficient, no queues despite five aircraft scheduled to take off around 6am in the morning. Shame about the return welcome.