Re: different internet speed in debian and smart phone

[IL Ka <kazakevichilya@gmail.com>]

  Device-1: Broadcom Limited BCM4313 802.11bgn Wireless Network Adapter 

ok, this is your card.

Lets see  output of 

$ iw dev [your_dev_name]

it should be 

 $ iw dev wlan0

I believe

Also, try to ping your wifi router ip address and some Internet address like

$ ping 8.8.8.8

Then, check https://www.speedtest.net/ : it gives a little bit more information than "fast.com"