How fast is the new oil leaking out?

 

Not fast at all. Very little

 

Most cars with go through about a quart of oik every 3000 miles, thats normal. your car holds a little over 5 quarts with the filter, if you are losing all your oil in 3000, thats not a small leak. Look where you park your car to see if it is leaking out of the car. If you see oil on the ground, get under the car and take a good look for oil. If you don't see any the motor is either burning it or its in your cooling system.