Please help with Prince of Persia:TTT
 

I'm at the Temple, and I'm trying to get the health upgrade. I don't have any problems with the shutter jumping to reach the first pillar, and I have just enought time to jump from there to the second pillar. But the second pillar collapses as soon as I touch it, possibly before. Even if I slow down time, I can never make it. I thought it might be a glitch, so I quit the game and started again at the last save point, no change. Then I tried quitting, turning off the xbox, and starting again, but I still had the problem.

Is this supposed to happen and I'm just not being quick enough? Because I'm considering taking the game back and getting a replacement.