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.

Desmos Link

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

Answer 1

To find out when both Silvio and Fernando will arrive at the cafe, we need to determine when their paths are equal, i.e., when \( S(m) = F(m) \).

Given the functions:
- Silvio's path: \( S(m) = -2m + 60 \)
- Fernando's path: \( F(m) = m \)

We set the equations equal to each other:

\[
-2m + 60 = m
\]

Now, solve for \( m \):

1. Add \( 2m \) to both sides:
\[
60 = 3m
\]

2. Divide by 3:
\[
m = 20
\]

Thus, both Silvio and Fernando will arrive at the cafe in **20 minutes**.