Western Union posts funds within minutes of your transaction. Tiger is a relatively new service and their website does not offer any information about the speed of their transactions.
https://www.inmateaid.com/ask-the-inmate/i-sent-money-to-someone-in-jail-using-the-tiger-commissary-site-that-the-jail-told-me-to-use-how-long-does-it-take-to-for-the-person-to-receive-the-money#answer
Accepted Answer Date Created: March 09,2013