The drain in your 45-gallon bathtub is partially clogged, but you need to take a shower. The showerhead had a flow rate of 2.25 gallons per minute, but the bathtub only drains at a rate of - 0.5 gallons per minute. What is the longest shower you can take?

Question

Lilliana Hoffman

Mathematics

4 August, 04:53

The drain in your 45-gallon bathtub is partially clogged, but you need to take a shower. The showerhead had a flow rate of 2.25 gallons per minute, but the bathtub only drains at a rate of - 0.5 gallons per minute. What is the longest shower you can take?

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Answers (1)

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Cornelius Hinton · Answer 1

25 minutes 42 seconds

Step-by-step explanation:

The tub will fill at the rate of ...

2.25 gal/min - 0.50 gal/min = 1.75 gal/min

It will take ...

45 gal / (1.75 gal/min) ≈ 25.714 min

for the tub to fill.

You can shower for about 25 minutes 42 seconds.