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 before the restart.
- 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 and takes 20 minutes.
4. **Second attempt**:
- Carla has to restart the download from the beginning.
- Total time to download the entire 200 GB file at 2 GB/minute = 200 / 2 = 100 minutes.
5. **Total time**:
- Time for the first attempt (40 minutes) + restart time (20 minutes) + time for the 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.