First of all, you need to be specific when you say fast in computing terms. More RAM won't make your processor perform any more instructions than it can in a second (i.e. hertz).
More RAM will however allow you to multitask faster; Access time (The time it takes to perform read/write operations) of Random Access Memory is much, much faster than a secondary storage device e.g. a HDD or SSD. Having more RAM simply means you can keep more programs in it simultaneously. The following example attempts to explain how this benefits you.
Let's say you want to run 2 programs, Program A & Program B on your computer and both take up 1 GB of memory each. The total RAM in your computer is 1 GB. When you first launch Program A, it will be loaded up into your Computer's RAM. When you launch Program B, there won't be any room in your Computer's RAM, so your Operating System will move the contents of the RAM (i.e. Program A) to your Virtual Memory (or Pagefile) (which is on a secondary storage device) and then load up Program B into the RAM. This process is also known as swapping (or Paging). During the swap process, you'd be limited by the write speed of your secondary storage device.
Now imagine your computer had 2 GB of RAM. When you would launch Program B, instead of having to swap the contents of the RAM into the Pagefile and hence being slowed down by the slow write speed of your secondary storage device, Program B would load directly into the RAM. This is why Alt-Tabbing from a RAM hungry application (like a video game) is a lot smoother with more RAM then it is with less.
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I wasn't sure if this was correct because researching online I just get the answers "You can open more programs". It's for a CS exam in my first year of a Software Engineering degree so I thought this would be a more relevant place for more serious answers. – BugHunterUK – 2016-04-20T12:13:32.253
1Less page faults and more disk caching. Not very on topic here, though. – None – 2016-04-20T13:07:04.677