Relative speed and Time dilation

[stellaman]

Homework Statement

What is the relative speed if two observers record a time difference of 1%

Homework Equations

t=(gamma)t'

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.