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gsm8k-0007

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Challenge · difficulty 2/5
# 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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Proposed solution
To determine the total time it takes for Carla to download the 200 GB file, we'll break down the process step by step.

1. **Initial Download:**
   - Carla downloads at a rate of 2 GB/minute.
   - She downloads 40% of the file first.
   - 40% of 200 GB = 0.40 × 200 GB = 80 GB.
   - Time to download 80 GB = 80 GB / 2 GB/minute = 40 minutes.

2. **Windows Update Restart:**
   - The restart takes 20 minutes.

3. **Restarted Download:**
   - After the restart, Carla has to download the remaining 60% of the file (200 GB - 80 GB = 120 GB).
   - Time to download 120 GB = 120 GB / 2 GB/minute = 60 minutes.

4. **Total Time:**
   - Total time = Initial download time + Restart time + Restarted download time
   - Total time = 40 minutes + 20 minutes + 60 minutes = 120 minutes.

\boxed{120}