Updation problem

I am new in kali linux...
trying to update system with command:

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apt update

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error coming like this...

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Reading package lists... Done
E: Could not open lock file /var/lib/apt/lists/lock - open (13: Permission denied)
E: Unable to lock directory /var/lib/apt/lists/
W: Problem unlinking the file /var/cache/apt/pkgcache.bin - RemoveCaches (13: Permission denied)
W: Problem unlinking the file /var/cache/apt/srcpkgcache.bin - RemoveCaches (13: Permission denied)

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not understand why such message comes...
any clue please

Try this command sudo apt-get update.
After you type this it will ask for your root password.
If this does not work then try changing your repos.
repos can be found in /root/etc/apt/sources.list.
and if you are facing slow speed in terminal then try this link:-http://http.kali.org/README.mirrorlist
here you will find fastest repos at your location and continent also other repos below.
Hope this helps you, need any other help fell free to conatact me my email:-arkapravaa.3#gmail.com.
Thank you.