If you mess up and die, don’t give up straight away — I found it is still possible to earn the achievement, even if you respawn and continue.
I’m not sure if the game includes the time it look for you to die and for the game to reload, or if it continues the timer from when it saved. However, as long as you were fast enough before you died, you should be able to continue and attempt the jump again (as long as it saved at the right point). It’s still worth trying again, even to practice.
I messed up the jump onto the bed, but managed the jump on my second attempt after respawning and got the achievement. You want to jump when the corner of the bed is closest and aim towards the middle. It can be a hard jump to make, but it seems it is the only possible one within the minute you have to do it.
Also:
- Don’t shoot the Taken. Use your torch to briefly stun him and get away from him quickly.
- Be careful when running. Alan will stop to catch his breath if you run for too long, so take that into consideration so you don’t waste time. (Especially up the second set of steps).