I have a website written in cakephp on a linux server. I have a problem with extremely slow loading time of my css and js files. For example, this is the network tab in chrome when loading my home page:

As you can see, one of my css files took 59 seconds to download! It is important to note that this is not always the same css file. Sometimes its JS file, sometimes different css, but it must be loaded before displaying other content on the page, so they block the page from loading. Due to waiting for the download of one file, the website does not appear for 59 seconds.
I checked my server and it has a very low load, cpu runs at 10% and uses less than 20% of the used bar. Its apache server with the following preview settings:
StartServers 10 MinSpareServers 10 MaxSpareServers 20 ServerLimit 256 MaxClients 256 MaxRequestsPerChild 10000
This mentioned slow download time occurred with 3-4 users simultaneously on the website. I have an APM application with appdynamics, and there is nothing suspicious here. I checked the php.ini file with the server administrator and everything seems to be fine there. What other software can I use to find the source of this problem? There is also little information in apache logs.
Any suggestions would be greatly appreciated.
EDIT:
I moved all my assets to webroot and got these results in another domain using the same server:

As you can see, this time its jquery file took 27 seconds to load. It is stored in app / webroot
source share