Does adding salt to water make it boil faster?

In short; absolutely not. However, if you wish to read on.........According to the colligative properties of solutions, if you add a solute (salt) to a solvent (water), then the addition of the salt will cause the water's boiling point to increase.

The equation for boiling point elevation is dT = KbM where dT is the temperature change, Kb is the ebullioscopic constant, and M is Molality of the solution. The Molality is equal to the moles of solute (salt) divided by the kilograms of solvent (water). By increasing the amount of moles (amount) of salt, you increase the temperature change.

The Kb of water is 0.512. To raise the boiling point of 1 liter of water (1kg) by 2oC, you would have to add nearly 230 grams of table salt. The amount of salt you add when cooking (such as pasta) doesn't really change the temperature by much at all, its more for flavor.