Systems of equations word problem

Question

Vavilen inflated a huge balloon in 19 minutes. Then he poked a hole in the balloon so that it slowly leaked air out until it was completely deflated. The rate at which the air leaked out of the balloon (in liters of air per minute) was half of the rate at which Vavilen inflated the balloon. It took the balloon 38 minutes to completely deflate. At what rate did Vavilen inflate the balloon, and at what rate did the balloon deflate?

Answer 1

V is the volume of the balloon in cubic liters

inflates V cubic liters in 19 minutes, which is V/19 cubic liters per minute

deflates V cubic liters in 38 minutes, which is V/38 cubic liters per minute.