Question

Silvio is meeting his friend Fernando at a cafe. The function representing Silvio's path is S(m) = -2m + 60, and Fernado's path is represented by F(m) = m to the cafe.



(1 point)
How long will it take for both of them to arrive at the cafe? minutes.

Answer 1

To find out when Silvio and Fernando will arrive at the cafe, we need to determine when their paths equal each other, which means finding the value of \( m \) where \( S(m) = F(m) \).

Given:

\[
S(m) = -2m + 60
\]
\[
F(m) = m
\]

We set these two equations equal to each other:

\[
-2m + 60 = m
\]

Now, we can solve for \( m \):

1. Add \( 2m \) to both sides:

\[
60 = 3m
\]

2. Divide both sides by 3:

\[
m = 20
\]

So, it will take both Silvio and Fernando **20 minutes** to arrive at the cafe.