Maka's guide is great as always but I have found a way to get this achievement in Solo. If I'm honest with you it is going to take you a few attempts but as long as you get a bit of luck you will be fine. remember to keep a stop watch close by so you know when to restart if you go over the time.
*Note* your biggest challenge to getting this achievement is picking up points, your going to have enough fire power to take out all the zombies and bosses, you just need to pick up as many points as possible as soon as possible. *note*
Round one - Stay in the arena, you will have 6 zombies to take out, shoot them all once then knife them to get maximum points.
Once round one has finished move into the Danu tower and activate the gong straight away. Your going to find it difficult to take out the boss in there with your pistol but keep knifing the zombies and picking up points until you have enough to pick up the shot gun.
Once you have the shotgun take out the boss and move over to the next tower activating the gong straight away and taking out the boss using your shot gun again. feel free to use your super weapon if needed.
The most tricky part of the achievement is here as you need 4500 points to get to the other side of the map, once you have acquired enough points or feel like your close enough to get to the other side, make your move. If you need to see the route my video below will show you the way.
If you have managed to get into the 3rd tower with about about a minute and a half to spare you should be good from here, use your shotgun to kill the 3rd boss and rack up your points to 2000 to get over the last bridge then take the last boss out using your special weapon to make sure the time doesn't run over.
As long as everything goes right your achievement should pop!
Feel free to check out my video tutorial below to show you how I got the achievement.