Question

A Red bucket has 200 L of water and has been filled at a rate of 6 liters per minute A blue bucket hats 500 L of water and is being drained at a rate of 6 L per minute how many minutes will it take for the two buckets to have the same amount of water

Answer 1

Both buckets will have the same amount of water after 25 minutes

Explanation:

Equations

Let's call:

t = number of minutes elapsed for both buckets

The red bucket already has 200 L of water and it's flowing in at a rate of 6 liters per minute. Thus, the volume of water in this bucket is:

R = 200 + 6t

The blue bucket has 500 liters of water and is being drained at 6 liters per minute. The volume can be modeled by the equation:

B = 500 - 6t

The condition for both buckets to have the same amount of water is:

R = B

200 + 6t = 500 - 6t

Adding 6t and subtracting 200:

6t + 6t = 500 - 200

12t = 300

t = 300/12

t = 25 minutes

Both buckets will have the same amount of water after 25 minutes