G.B.
Tylenol is really a good medication for fevers and simple pain. But with teething you have inflammation too. Motrin/Ibuprofin reduces the swelling and inflammation in the nerve endings and therefore makes the pain less. It works better teething pain because of this.
Get your pharmacist to give you the details on how to treat with Motrin. It can be a dangerous medication, just like Tylenol can be. A pharmacist is a specialist in medications a doc isn't.