Final answer:
To find out how many GB remain to be downloaded, multiply the file size by the percentage downloaded. Subtract the amount downloaded from the total file size to find the remaining GB. Set up a proportion using the amount downloaded in 10 minutes and the remaining amount to determine the time needed to download the remaining GB.
Step-by-step explanation:
To find out how many GB remain to be downloaded, we can first calculate the amount of data that has already been downloaded. Given that 42% of the file has been downloaded, we can multiply the size of the file (14GB) by 0.42 to find the amount downloaded. Therefore, 6GB has already been downloaded.
To find out how many GB remain, we can subtract the amount downloaded from the total file size. Thus, 14GB - 6GB = 8GB remain to be downloaded.
Next, to determine how long it will take to download the remaining 8GB, we can set up a proportion using the amount downloaded in 10 minutes and the remaining amount to be downloaded. We know that 10 minutes represents 42% downloaded, so x minutes represents 100% downloaded. Based on this proportion, we can solve for x by cross multiplying: 10 minutes * 100% downloaded = x minutes * 42% downloaded. Simplifying the equation gives x = (10 minutes * 100% downloaded) / 42% downloaded. Therefore, it will take about 24 minutes to download the remaining 8GB.