A Q1 journal is rated amongst the top 25% of journals and the waiting list is very long. For new submissions (authors without known track record) there is no time limit in practice. for example Journals such as "Brookings Papers on Economic Activity ( journal 7.172 Q1 with H index 80 ) the wait time is several months. However it is believed generally that OA(open access) journals are the quickest in publications. Check carefully since some of these Q1 journals are "journal by invitation-only". As a tip if the author has a high h-index the chances of quicker acceptance is possible.

The journals with fast publication is merely Business to make money.

Try for "F1000research"