* Relative Speed: If you're talking about your speed *relative* to the moving object, then your speed would be zero. You'd be at rest on the object. Think about being in a car: You're moving at the same speed as the car, so you feel stationary inside.
* Speed Relative to the Ground: If you're talking about your speed relative to the ground, then your speed would be the same as the moving object's speed. If you drive onto a train traveling at 60 mph, your speed relative to the ground is also 60 mph.
Important Note: It's crucial to specify what your reference point is. "Speed" is always relative to something.