let

a = the running time for movie A

b = the running time for movie B

the running time for movie A is 36 minutes more than twice for move B

a = 2b + 36

the running time for movie A is subtracted from triple the running time for movie B, the result is 54 minutes:

3b - a = 54

by solving the system of equations:

a = 2b + 36

3b - a = 54

we find:

a = 216 min

b = 90 min

click here to see the step by step solution of the system of equations:

the running time of movie A is 216 minutes.

the running time of movie B is 90 minutes.