Velocity in Circular Motion

A car goes around a curved stretch of flat roadway of radius *R* = 92.0 m. The magnitudes of the horizontal and vertical components of force the car exerts on a securely seated passenger are, respectively, *X* = 240.0 N and *Y* = 600.0 N.

At what speed is the car travelling?

The correct answer needs to be 68.4 km/h. But I don't know how to get this answer, but I know to find the velocity of a particle in uniform circular motion can be found via these formulas:

$\displaystyle v=\frac{\Delta r}{\Delta t}$ and $\displaystyle v=\sqrt{a_cr}$

But I don't understand how to use the horizontal and vertical components given to obtain acceletation and displacement when mass and time are not given. Can anyone step by step show me how to solve this?