40. video downloads a particular computer takes 15 min to download a 45 - min tv show. how long will it take…

40. video downloads a particular computer takes 15 min to download a 45 - min tv show. how long will it take the computer to download a 2 - h movie?

40. video downloads a particular computer takes 15 min to download a 45 - min tv show. how long will it take the computer to download a 2 - h movie?

Answer

Explanation:

Step1: Convert 2 - h to minutes

Since 1 h = 60 min, then 2 h=2×60 = 120 min.

Step2: Find download - time for 45 - min TV show

Set up a proportion. Let (t_1) be the download time for the 45 - min TV show. The rate of download is assumed to be constant. If it takes 15 min to download 1 min of content, then for a 45 - min TV show, (t_1 = 45\times15=675) min.

Step3: Find download - time for 120 - min movie

Let (t_2) be the download time for the 120 - min movie. Using the same rate, (t_2=120\times15 = 1800) min.

Answer:

It takes 675 minutes to download a 45 - min TV show and 1800 minutes to download a 2 - h movie.