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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Here is the step-by-step reasoning to solve the problem:

1.  **Calculate the amount of data downloaded before the restart:**
    Carla downloads 40% of the 200 GB file before the restart occurs.
    $$0.40 \times 200 \text{ GB} = 80 \text{ GB}$$

2.  **Calculate the time taken for the initial download:**
    Her download speed is 2 GB/minute. To download 80 GB, it takes:
    $$80 \text{ GB} \div 2 \text{ GB/minute} = 40 \text{ minutes}$$

3.  **Account for the restart time:**
    The restart process takes 20 minutes.
    $$40 \text{ minutes (download)} + 20 \text{ minutes (restart)} = 60 \text{ minutes}$$

4.  **Calculate the time taken to download the file again:**
    Carla must restart the download from the beginning, meaning she has to download the full 200 GB again.
    $$200 \text{ GB} \div 2 \text{ GB/minute} = 100 \text{ minutes}$$

5.  **Calculate the total time:**
    Add the time elapsed before the restart (including the restart duration) to the time taken for the second download.
    $$60 \text{ minutes} + 100 \text{ minutes} = 160 \text{ minutes}$$

\boxed{160 \text{ minutes}}