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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I need to calculate the total time Carla takes to download a 200 GB file, considering the restart due to Windows updates.

Let me break this down step by step:

Step 1: Calculate how far Carla gets before the restart
- The file is 200 GB total
- 40% of the way through means she's downloaded 40% × 200 GB = 80 GB
- At 2 GB/minute, this takes 80 GB ÷ 2 GB/minute = 40 minutes

Step 2: Calculate the time for the restart and reinstall
- Windows forces a restart that takes 20 minutes

Step 3: Calculate the time to download the entire file again
- She needs to download all 200 GB from scratch
- At 2 GB/minute, this takes 200 GB ÷ 2 GB/minute = 100 minutes

Step 4: Calculate total time
- Time before restart: 40 minutes
- Time for Windows restart: 20 minutes  
- Time to download again: 100 minutes
- Total time: 40 + 20 + 100 = 160 minutes

Therefore, it takes 160 minutes to download the file.

$\boxed{160}$