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.

Question

(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.