The Logitech speakers will produce sound and be sufficient for games , im sure they will be very bass heavy, if you want to listen to music and have it sound good I wouldn't recommend little plastic speakers. I'm i bit of a stereo enthusiast your not going to get great speakers for your budget but you can do better than that.
You have two choices depending on quality of sound . An set of self amplified pc speakers or running an external amp and a decent set of speakers. Hifi is a thing and people don't realize how good music can sound through a good setup.
The Logitech speakers will produce sound and be sufficient for games , im sure they will be very bass heavy, if you want to listen to music and have it sound good I wouldn't recommend little plastic speakers. I'm i bit of a stereo enthusiast your not going to get great speakers for your budget but you can do better than that.