Question

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

Answer 1

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:

$Time = \frac{Size}{R_3}$

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

$Time = 1.978\ min$