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erma4kov [3.2K]
3 years ago
11

The drain in your 45-gallon bathtub is partially clogged, but you need to take a shower. The shower head had a flow rate of 2.25

gallons per minute, but the bathtub only drains at a rate of 20.5 gallons per minute. What is the longest shower you can take? Round your answer to the nearest feet
Mathematics
1 answer:
Helen [10]3 years ago
6 0

Answer:

Time = 1.978\ min

Step-by-step explanation:

Given

R_1 = 2.25\ gal/min --- Flow rate of the shower

R_2 = 20.5\ gal/min --- Drain rate of the bathtub

Size = 45gal -- Bathtub size

Required

Determine the maximum time of shower

First, we calculate the rate at which the bathtub fills.

R_3 = R_1 + R_2

R_3 = 2.25 + 20.5

R_3 = 22.75gal/min

The maximum time of shower is:

Time = \frac{Size}{R_3}

Time = \frac{45gal}{22.75gal/min}

Time = 1.978\ min  

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