Speed Runner Trophy in HoPiKo
Complete a Speedrun
How to unlock Speed Runner
To obtain this trophy, you need to complete a Speedrun. There are a total of five Speedruns in the game (one in each World), however you only need to complete one of them, not all five. You can unlock a Speedrun by beating all 10 numbered runs in the respective World.
Although a Speedrun requires you to play through all 10 numbered runs of a world in a single segment, there doesn't seem to be any time requirement (despite a timer tracking the duration of your run in the corner). There are also checkpoints every five levels, so if you die during the Speedrun, you only get moved back a few levels, not to the start of the whole run.
I would recommend doing the Speedrun in World 1, as this should be the easiest (and quickest) one to do for most players.