Let A be the rate of the faster pipe and B be the rate of the slower pipe.
We have A − B = 50 and A + B = 330.
Solving these simultaneous equations, we have:
A − B = 50
A + B = 330
2A = 380
So A = 190. Since B is 50 L/min slower, then B = 140.
CHECK:
190 + 140 = 330
190 − 50 = 140.
So the drainage rate of the faster pipe is 190 L/min and the rate of the slower pipe is 140 L/min.