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?

Question

Mathematics

Scott Hahn

20 November, 21:38

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?

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Answers (1)

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Nathanael Barry · Answer 1

To solve this problem, we actually need to be given the maximum volume of the ballon.

Well assuming that the maximum volume of the balloon is represented by the variable M, hence the inflation rate and the deflation rate is equal to:

> inflation rate

M / 19

> deflation rate

M / 38