First step back and think about it. The mean time is 60, and you want to find the time that 97% of folks take less than. "97%" corresponds to a little more than 2 standard deviations above the mean, right? [Why?]
So your answer will be a little less than 60 + 2 * 8 = 76...right?
Here's a hint on the details:
You want to find time T so that F(t) = prob(t < T) = 0.97.
So you want to solve
So you want to find t so that