You need some queueing theory to answer your question. You are describing an M/M/c queue.
https://en.m.wikipedia.org/wiki/M/M/c_queue
You can calculate what will happen:
https://www.supositorio.com/rcalc/rcalclite.htm
I'm not sure that serializing a request into a response and executing it in a client is a terribly common model. I'm curious how it could be useful...