Question

a particular computer takes 15 minutes to download a 45 - minute tv show. how long will it take the computer to download a 2.5 - hour movie? it will take the computer minutes to download a 2.5 - hour movie. (type an integer or a decimal.)

Explanation:

Step1: Convert 2.5 - hour movie to minutes

Since 1 hour = 60 minutes, a 2.5 - hour movie is $2.5\times60 = 150$ minutes.

Step2: Set up proportion

Let $x$ be the time to download the movie. The ratio of download - time to content - time is the same. We know that it takes 15 minutes to download a 45 - minute TV show, so the proportion is $\frac{15}{45}=\frac{x}{150}$.

Step3: Solve the proportion

Cross - multiply: $45x=15\times150$. Then $45x = 2250$. Divide both sides by 45: $x=\frac{2250}{45}=50$.

Answer:

50