Water Container Problem: Calculate Time to Reach 160L Capacity from 48L

Graph Interpretation with Linear Relationships

There are two water containers. The first container is empty, whilst the second contains 48 liters of water.

How long will in take for the second container to reach full capacity?

Minutos000222444666888101010121212141414161616181818202020222222242424262626282828Litros484848565656646464727272808080888888969696104104104112112112120120120128128128136136136144144144152152152160160160AAABBB

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

There are two water containers. The first container is empty, whilst the second contains 48 liters of water.

How long will in take for the second container to reach full capacity?

Minutos000222444666888101010121212141414161616181818202020222222242424262626282828Litros484848565656646464727272808080888888969696104104104112112112120120120128128128136136136144144144152152152160160160AAABBB

2

Step-by-step solution

Let's begin by observing the blue line that represents the second container.

Note that it will be full at the point where it starts to become a continuous line.

Hence let's draw a vertical line from this point to the X-axis which marks the minutes.

We can observe that the line reaches 22, meaning the container will be full in 22 minutes.

3

Final Answer

22 minutes

Key Points to Remember

Essential concepts to master this topic
  • Graph Reading: Find where blue line B becomes continuous horizontal line
  • Technique: Draw vertical line from endpoint to x-axis at 22 minutes
  • Check: Blue line represents second container starting at 48L reaching 160L ✓

Common Mistakes

Avoid these frequent errors
  • Reading the wrong line on the graph
    Don't follow the red line A which represents the empty first container = wrong answer! Red line A shows a different container's filling pattern. Always identify that blue line B represents the second container that starts with 48 liters.

Practice Quiz

Test your knowledge with interactive questions

Look at the function shown in the figure.

When is the function positive?

xy-4-7

FAQ

Everything you need to know about this question

How do I know which line represents which container?

+

Look at the starting points! The blue line B starts at 48 liters (matching the problem), while red line A starts at 0 liters (the empty first container).

What does it mean when the line becomes continuous?

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When the line becomes continuous horizontal, it means the container has reached its maximum capacity and stops filling. This is your target point!

Why is the answer 22 minutes and not 160 minutes?

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The y-axis shows liters (160L is the capacity), while the x-axis shows minutes (22 is the time). Always read the correct axis for what the question asks!

How can I be sure I'm reading the graph correctly?

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Follow these steps:

  • Identify the correct line (blue B for second container)
  • Find where it becomes horizontal
  • Draw a vertical line down to the x-axis
  • Read the time value where it intersects

What if the lines look similar on the graph?

+

Look at the labels and colors! Red line A and blue line B are clearly marked. Also check the starting values - one starts at 0L, the other at 48L.

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