Final answer:
The time taken to download the remaining 75% of the movie is 18 minutes, as the first 25% took 6 minutes and the download speed is constant. The total download time is 24 minutes, from which the elapsed time of 6 minutes is subtracted.
Step-by-step explanation:
The question asks how much more time it will take to download the remaining 75% of a movie if the first 25% took 6 minutes to download. We assume that the download speed remains constant throughout the process. To find the time needed for the entire download, we can set up a proportion.
Since 25% of the movie takes 6 minutes, the whole movie would take 4 times that amount of time (because 4*25% = 100%). Therefore, the total time for downloading the entire movie is 6 minutes * 4 = 24 minutes.
To find the time remaining for the remaining 75% of the movie, we subtract the time already spent downloading, which is 6 minutes, from the total time of 24 minutes.
So, the time remaining to download the rest of the movie = 24 minutes - 6 minutes = 18 minutes.