To find out when Silvio and Fernando will arrive at the cafe, we need to set their paths equal to each other, as these functions represent their distances to the cafe over time.
Given:
- Silvio's path: \( S(m) = -2m + 60 \)
- Fernando's path: \( F(m) = m \)
We need to solve for \( m \) in the equation:
\[ S(m) = F(m) \]
Substituting the equations gives us:
\[ -2m + 60 = m \]
Now, we can solve for \( m \):
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Combine like terms: \[ 60 = m + 2m \] \[ 60 = 3m \]
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Now, divide both sides by 3: \[ m = \frac{60}{3} = 20 \]
Thus, it will take 20 minutes for both of them to arrive at the cafe.
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