Question

. Ashley has two buckets filled with water. The large bucket contains 36 gallons and isleaking at a rate of 0.12 gallons per hour. The small bucket contains 12 gallons and isleaking at a rate of 0.6 gallons per hour.Which inequality can be used to find the number of hours, h, at which the largerbucket will have less water than the smaller bucket?

Answer 1

let the rate of change of the bucket be expressed as:

Rate of leakage= amount of gallons/Time taken

for the large bucket:

amount of gallons = 36

rate of leakage = 0.12 gallons/hr

From the formula:

Time taken = amount of gallons//rate of leakage

Time taken = 36/0.12

Time taken = 300hr

for the small bucket:

amount of gallons = 12

rate of leakage = 0.6 gallons/hr

From the formula:

Time taken = amount of gallons//rate of leakage

Time taken = 12/0.6

Time taken = 20 hrs

we can see that the larger bucket is leaking 28