The problem asks us to determine the time a file download will finish, given the file size, download speed, and start time. The file size is 1680 MB, the download speed is 1.4 MB per second, and the download starts at 13:00.

Applied MathematicsRateTimeUnits ConversionWord Problem
2025/4/22

1. Problem Description

The problem asks us to determine the time a file download will finish, given the file size, download speed, and start time. The file size is 1680 MB, the download speed is 1.4 MB per second, and the download starts at 13:
0
0.

2. Solution Steps

First, we need to calculate the total download time in seconds. We can find this by dividing the file size by the download speed:
Time=FileSizeDownloadSpeedTime = \frac{FileSize}{DownloadSpeed}
Time=1680 MB1.4 MB/s=1200 sTime = \frac{1680 \text{ MB}}{1.4 \text{ MB/s}} = 1200 \text{ s}
Now, we need to convert the download time from seconds to minutes:
Timeminutes=1200 s60 s/min=20 minutesTime_{minutes} = \frac{1200 \text{ s}}{60 \text{ s/min}} = 20 \text{ minutes}
The download takes 20 minutes. Since the download starts at 13:00, we add 20 minutes to the start time to find the finish time.
13:00+0:20=13:2013:00 + 0:20 = 13:20

3. Final Answer

The download will finish at 13:20.

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