Hi guys, had a terrible time with my car today

I was cruising down the motorway, when my car started to cut out, the revs would drop and bounce back, until it all just stopped. I went on the hardshoulder and coudnt start the car. My fuel gauge was showing half a tank, when i really had quarter tank. So I thought it might be a fuel problem at this point. I put £5 worth of fuel and started it. It ran for about a mile and then cut out again. I got towed to a BP. I left the car for an hour and put a full tank of petrol and the car started normally and i drove it home fine.

Any reasons to why this happened? I was thinking of fuel filter or fuel pump problem

Cheers.