Relative speed and Time dilation

[stellaman]

1. The problem statement, all variables and given/known data
What is the relative speed if two observers record a time difference of 1%


2. Relevant equations
t=(gamma)t'


3. The attempt at a solution

I use the above equation and solved for v, and got

v=sqrt(-c2((t'/t)2-1)

however I am gettin 2.999x108m/s, and I am pretty sure that is not right.

[DukeLuke]

Perhaps you can relate \frac{t}{t'} to the 1% time difference. If you can do this you could find a velocity by solving \frac{t}{t'} = \gamma for the v in gamma.