gsm8k-0007
1.000
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
Let's break down the problem step by step.
1. **Total file size**: 200 GB.
2. **Normal download speed**: 2 GB/minute.
3. **First attempt**:
- Carla downloads 40% of the file.
- 40% of 200 GB = 0.4 * 200 = 80 GB.
- Time taken to download 80 GB at 2 GB/minute = 80 / 2 = 40 minutes.
- Windows forces a restart after 40 minutes, which takes an additional 20 minutes.
4. **Second attempt**:
- Carla has to restart the download from the beginning.
- Total download time for 200 GB at 2 GB/minute = 200 / 2 = 100 minutes.
5. **Total time**:
- Time for first attempt (40 minutes) + restart time (20 minutes) + time for second attempt (100 minutes).
- Total time = 40 + 20 + 100 = 160 minutes.
So, the total time it takes to download the file is \(\boxed{160}\) minutes.