For the given reaction,
3A+2B→C+D, the experimental rate law is R=K[A][B]2. When the active mass of 'B' is kept constant and 'A' is doubled then, the rate of the reaction will
When the concentration of 'A' is doubled (2A) and 'B' is kept constant,
Rate=K[2A]1[B]2=2K[A][B]2
Thus, the rate of reaction is increased by 2 times.