Question

Two containers are leaking water.Container A Leaked at a rate of 2/3 a gallon every 1/4 an hour. Container B leaked at a rate of 3/4 a gallon every 1/3 an hour. Which container is is losing water faster?

Answer 1

Answer:

container A is losing water faster

Step-by-step explanation:

Given;

the rate of water loss in container A = 2/3 a gallon every 1/4 an hour

the rate of water loss in container B = 3/4 a gallon every 1/3 an hour

Determine the rate of water loss for each container;

Container A:

Volume of water loss,  V = 2/3 a gallon

time of water loss, t = 1/4 an hour = 15 minutes

rate of water loss, Q = V/t

$Q = (\frac{2 }{3}\ gallon) *(\frac{1}{15 \ mins} )\\\\Q = \frac{2}{45}(\frac{gallon}{mins}) = 0.0444 \ gpm$

Container B:

Volume of water loss,  V = 3/4 a gallon

time of water loss, t = 1/3 an hour = 20 minutes

rate of water loss, Q = V/t

$Q = (\frac{3}{4} \ gallon)*(\frac{1}{20 \ mins})\\\\Q = \frac{3}{80} (\frac{gallon}{mins}) = 0.0375 \ gpm$

The rate of container A is higher than container B, thus container A is losing water faster