To determine the total time it will take Miguel to reach his destination, we can first find his driving rate. He has driven 23 units of distance in 4 hours.
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Calculate his driving rate: \[ \text{Rate} = \frac{\text{Distance}}{\text{Time}} = \frac{23 \text{ units}}{4 \text{ hours}} = 5.75 \text{ units/hour} \]
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Now, we need to find out what the total distance is. Since Miguel has driven 23 units in 4 hours, we can express the total distance as \( D \).
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Let \( D \) be the total distance. If he continues at the same rate of 5.75 units/hour, we can express the remaining distance ( \( R \) ) that he has left to travel after these 4 hours. However, we need further details about the total distance in order to calculate the total time.
Assuming he drives the same distance (23 units) for the next segment of his trip, the entire distance would be: \[ D = 23 + 23 = 46 \text{ units} \]
- Now we calculate the total time based on the total distance: \[ \text{Total Time} = \frac{D}{\text{Rate}} = \frac{46 \text{ units}}{5.75 \text{ units/hour}} \approx 8 \text{ hours} \]
Thus, at this rate, the total time it will take him to reach his destination is 8 hours.
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