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

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

Step-by-step 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

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