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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First, determine how much of the file was downloaded before the interruption:
40% of 200 GB = 0.40 × 200 GB = 80 GB.

Next, calculate how long it took to download that 80 GB at a speed of 2 GB/minute:
80 GB ÷ 2 GB/minute = 40 minutes.

Add the time taken for the Windows restart:
40 minutes (initial download) + 20 minutes (restart) = 60 minutes elapsed.

After the restart, Carla must download the entire file from the beginning. Calculate the time to download the full 200 GB:
200 GB ÷ 2 GB/minute = 100 minutes.

Finally, add this to the previously elapsed time to find the total duration:
60 minutes + 100 minutes = 160 minutes.

\boxed{160}