It is time to cool off on a hot summer day! Team sunshine is filling an inflatable kiddie pool from a garden hose. The pool has 30 gallons in it and Team sunshine is adding 8 gallons per minute with a garden hose. Next door, Team breeze's pool is already filled with 180 gallons of water. They are emptying the pool at 5 gallons per minute with buckets. How long will it take until both pools have the same amount of water?

Question

Mathematics

Talan Klein

6 October, 16:10

It is time to cool off on a hot summer day! Team sunshine is filling an inflatable kiddie pool from a garden hose. The pool has 30 gallons in it and Team sunshine is adding 8 gallons per minute with a garden hose. Next door, Team breeze's pool is already filled with 180 gallons of water. They are emptying the pool at 5 gallons per minute with buckets. How long will it take until both pools have the same amount of water?

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Answers (1)

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Alvin Cortez · Answer 1

Let t be the number of minutes passed, then team A = 30 + 8t and team B = 180 - 5t. When they have the same amount of water,

30 + 8t = 180 - 5t

8t + 5t = 180 - 30

13t = 150

t = 150/13 = 11.54 minutes