Your drives shouldn't be running this slow, especially the USB 3.0 and Thunderbolt drives. Period.
You have some hardware issues going on.
Before SSDs, believe it or not, video was edited using mostly 7200 and 10, 000 RPM hard drives.
Usually with FireWire 400/800 drives.
I create and edit video with Final Cut Express 4 using the internal hard drive with two external FW800 drives connected and working and I am not having the issues you are having.
Although, I am, also, using an older 2009 27 inch screen iMac with 16 GBs of RAM running OS X 10.6.8 Snow Leopard.
Also, I forgot to ask, how much RAM installed in your Mac?
I suspect You have either a hardware and/or hardware/software issues.
It would help us to help you if we could have some more technical info about your iMac.
If you wish, Please download, install and run Etrecheck.
Etrecheck was developed as a simple Mac diagnostic reporting tool by a regular Apple Support forum user and technical support contributor named Etresoft.
Etrecheck is a small, unobstrusive app that compiles a static snapshot of your entire Mac hardware system and installed software.
This is a free app that has been honestly created to provided help in diagnosing issues with Macs running the new OS X 10.9 Mavericks.
It is not malware and can be safely downloaded and installed onto your Mac.
http://www.etresoft.com/etrecheck
Copy/paste and post its report here in another reply thread so that we have a complete profile of your Mac's hardware and installed software so we can all help with your Mac performance issues.