Question

Sierra has a bucket that originally contained 340 fluid ounces of water and is being filled at a rate of 7 ounces per minute. Brian has a bucket that originally contained 640 ounces of water and is being drained at a rate of 8 ounces per minute. How long will it take for both buckets to have the same amount of water?

Answer 1

It will take 20 minutes for both buckets to have the same amount of water

Explanation:

Let "t" be the time in minutes when both the buckets will fill

The total volume in bucket A after t minutes

`340 + 7t`

The total volume in bucket B after t minutes

`640-8t`

`340 +7t = 640-8t\\15 t = 300\\t = 20`

It will take 20 minutes for both buckets to have the same amount of water