You will not get the range out of a RC552 reader to make this work. The range of these sorts of readers is only a few centimetres.
To get that sort of range you need a UHF rfid reader, these cost a few hundred dollars.
also wanna ask how can the system know which rfid reader have the runner past through.
You connect different readers to different pins so you know by which pins give you the signal what reader has detected the tag.