Final answer:
The question is to calculate the additional time needed to complete a journey at a constant speed. By first finding the average speed from the given data and then using it to determine the total travel time, we subtract the already covered duration to obtain the remaining travel time.
Step-by-step explanation:
The problem presented is a question of finding the additional time required to complete a trip while maintaining a constant speed. To solve this, we must first calculate the average speed of the journey based on the information given. It is known that the student takes 32 minutes to drive 48 km, so the average speed can be calculated by dividing the distance by the time, converting minutes to hours. Once the average speed is found, we can determine how long it will take to cover the remaining distance of the total 146 km journey.
To find the average speed:
- Speed = Distance / Time
- Speed = 48 km / (32 minutes / 60 minutes per hour)
The total time to travel 146 km at this average speed can then be calculated by dividing 146 km by the average speed. Having found this total time, we subtract the initial 32 minutes from it to find the additional travel time required to reach the destination. After performing these calculations, we can find the correct answer from the options given: A. 47 minutes, B. 52 minutes, C. 57 minutes, D. 62 minutes.