Final answer:
The relative velocity of buses P and Q is 27 m/s.
Step-by-step explanation:
The relative velocity of buses P and Q can be calculated by finding the difference between their velocities.
The velocity of bus P is 15 m/s in one direction, and the velocity of bus Q is 12 m/s in the opposite direction. Therefore, the relative velocity is:
Relative velocity = Velocity of bus P - Velocity of bus Q
= 15 m/s - (-12 m/s)
= 15 m/s + 12 m/s
= 27 m/s
So, the relative velocity of buses P and Q is 27 m/s.