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

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

Answer 1

To find out how long it will take for both Silvio and Fernando to arrive at the cafe, we need to determine where their paths intersect, which means setting their equations equal to each other:

Silvio's path:
\[ S(m) = -2m + 60 \]

Fernando's path:
\[ F(m) = m \]

Now, we set these equal to each other: \[ -2m + 60 = m \]

Next, we'll solve for \( m \):

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

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

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