Let's denote the time of the bus ride with the variable \( t \) (in minutes). According to the problem, the total travel time consists of the bus ride time plus the walking time. We know that the walking time is 30 minutes and the total travel time is 4 times the bus ride time.
The total travel time can be expressed as: \[ t + 30 \]
According to the problem, this total travel time is equal to 4 times the bus ride time: \[ t + 30 = 4t \]
So, the equation that models the situation is: \[ t + 30 = 4t \]