The problem is written in Albanian, and it translates to:

Ana walks from her home to the bus station. After walking for 8 minutes, she has 560 meters left. After walking for 12 minutes, she has 240 meters left. What is the distance from her home to the station, and how many minutes does it take for Ana to get there?

To solve this, let's denote:

• $d$ as the total distance from Ana's home to the bus station,
• $v$ as Ana's walking speed in meters per minute.

Given:

1. After walking 8 minutes, Ana has 560 meters left: $d - 8v = 560$

2. After walking 12 minutes, Ana has 240 meters left: $d - 12v = 240$

We have two equations: $d - 8v = 560 \quad \text{(1)}$ $d - 12v = 240 \quad \text{(2)}$

Subtract equation (2) from equation (1): $(d - 8v) - (d - 12v) = 560 - 240$ $-8v + 12v = 320$ $4v = 320$ $v = 80$

Now substitute $v$ back into equation (1): $d - 8(80) = 560$ $d - 640 = 560$ $d = 1200$

Therefore, the distance from Ana's home to the bus station is 1200 meters.

To find the total time it takes Ana to walk to the bus station: $\text{Total time} = \frac{d}{v} = \frac{1200}{80} = 15 \text{ minutes}$

Summary:

• The distance from Ana's home to the bus station is 1200 meters.
• It takes Ana 15 minutes to walk there.

Would you like further details or have any questions? Here are some related questions:

1. What is Ana's average walking speed in kilometers per hour?
2. If Ana increases her walking speed by 20%, how much time will she save?
3. How would the total distance change if the bus station were moved 100 meters farther?
4. If Ana took a break for 2 minutes after 8 minutes of walking, how would her total travel time change?
5. What if Ana walked the first half of the journey at a speed of 80 m/min and the second half at 60 m/min?

Tip: When solving systems of linear equations, elimination or substitution methods can be very effective in finding the solution.