gsm8k-0007

# GSM8K Problem 8

Carla is downloading a 200 GB file. Normally she can download 2 GB/minute, but 40% of the way through the download, Windows forces a restart to install updates, which takes 20 minutes. Then Carla has to restart the download from the beginning. How load does it take to download the file?

Reason step by step, then give ONLY the final answer on the last line as \boxed{ANSWER}.

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We are given:

- Total file size: **200 GB**
- Download speed: **2 GB/minute**
- At **40% of the way**, a restart happens due to Windows updates, which takes **20 minutes**
- After restart, Carla has to **restart the download from the beginning**

We are to find the **total time** it takes to successfully download the file.

---

### Step 1: Determine how much is downloaded before the restart

40% of 200 GB =  
$$
0.4 \times 200 = 80 \text{ GB}
$$

At 2 GB/minute, time to download 80 GB =  
$$
\frac{80}{2} = 40 \text{ minutes}
$$

Then, Windows forces a restart and takes **20 minutes**.

After the restart, Carla has to **start over**, meaning she must download the full 200 GB again.

So after the restart, time to download full file =  
$$
\frac{200}{2} = 100 \text{ minutes}
$$

---

### Step 2: Total time

- First partial download: **40 minutes**
- Restart/update: **20 minutes**
- Full download after restart: **100 minutes**

Total =  
$$
40 + 20 + 100 = 160 \text{ minutes}
$$

---

### Final Answer:

\boxed{160}