Final answer:
To download a 1.5-hour movie, it will take the computer approximately 22.5 minutes.
Step-by-step explanation:
To find the answer, we can use the concept of ratios. We know that the computer takes 10 minutes to download a 40-minute TV show. So, the ratio of time taken to download the TV show to the duration of the TV show is 10 minutes : 40 minutes.
We can use this ratio to find the time it will take to download a 1.5-hour movie. First, convert the 1.5 hours to minutes: 1.5 hours * 60 minutes/hour = 90 minutes. Then, set up a proportion using the ratio we found earlier: 10 minutes / 40 minutes = x minutes / 90 minutes. Cross-multiply and solve for x:
10 minutes * 90 minutes = 40 minutes * x minutes
900 minutes = 40 minutes * x minutes
x = 900 minutes / 40 minutes
x = 22.5 minutes
Therefore, it will take the computer approximately 22.5 minutes to download a 1.5-hour movie.