Question

Joe is downloading songs from the internet. He can download them at a rate of 8 songs every 10 minutes. Jasmine, who is also downloading songs, can download at a rate of 12 songs every 15 minutes. Who is downloading songs faster?

Answer 1

Joe's rate of download is given as

`\frac{no\text{ of songs downloaded}}{\text{time taken}}`
`\begin{gathered} no\text{ of songs downloaded = 8 songs} \\ \text{Time taken = 10 minutes} \\ \text{Joe's rate = }\frac{8}{10\text{ }}=0.8\text{ songs per minute} \end{gathered}`

Jasmine rate of download is given as

`\begin{gathered} \frac{no\text{ of songs downloaded}}{\text{time taken}} \\ no\text{ of songs downloaded = 12 songs} \\ \text{Time taken = 15 minutes} \\ \text{Jasmines rate =}(12)/(15)=0.8\text{ songs per minute} \end{gathered}`

Since both Joe and Jasmine have the same rate of song download/minute, none is faster than the other