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

`Time = 1.978\ min`

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 = (Size)/(R_3)`

`Time = (45gal)/(22.75gal/min)`

`Time = 1.978\ min`