Question
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20 At , a leaky bucket is filled to the top with water
Every minute, 20 ml of water drips out of the bucket.
At , the bucket is full.
What is the capacity of the bucket in litres?

Ask by Colon Perkins. in the United Kingdom
Jan 10,2025

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Answer

The bucket can hold 5.4 litres of water.

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Mind Expander

To find the capacity of the bucket, let’s analyze the situation step by step.
  1. The total time from 09:00 to 12:00 is 3 hours, which is 180 minutes.
  2. Since 20 ml of water drips out every minute, the total amount of water lost in 180 minutes is:
    .
  3. By 12:00, the bucket is full. Let’s denote the capacity of the bucket as ml.
    This means ml of water remains in the bucket at 12:00.
  4. Therefore, the amount of water that was originally in the bucket at 09:00 was:
    .
  5. Since the bucket was full at the beginning (09:00), we have:
    .
  6. To solve for , we can rearrange the equation:


    .
  7. To convert this to litres:
    .
The capacity of the bucket is 5.4 litres.

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