The steps you followed for solving the time calculations are correct. Here’s a detailed breakdown:

Part (a):

The formula you used, $\text{Time} = \frac{\text{Distance}}{\text{Speed}}$, is the correct approach for calculating time. For the first leg of the journey, the distance is 10 km, and the speed is 50 km/h:

$\text{Time} = \frac{10 \, \text{km}}{50 \, \text{km/h}} = 0.2 \, \text{hours}$

Converting this into minutes:

$0.2 \, \text{hours} \times 60 \, \text{minutes/hour} = 12 \, \text{minutes}$

Part (b):

Similarly, for the second leg, the vehicle travels 120 km at 50 km/h. Using the same formula:

$\text{Time} = \frac{120 \, \text{km}}{50 \, \text{km/h}} = 2.4 \, \text{hours}$

To convert 0.4 hours into minutes:

$0.4 \, \text{hours} \times 60 \, \text{minutes/hour} = 24 \, \text{minutes}$

So, the total time for the second leg is 2 hours 24 minutes.

Final Answers:

• (a): The vehicle will take 0.2 hours (12 minutes) to travel 10 km.
• (b): The vehicle will take 2 hours 24 minutes to travel 120 km.

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If you'd like more explanation on any of the steps or have further questions, feel free to ask! Here are some related questions to consider:

1. What is the total time for the vehicle to travel from Bến xe Miền Tây to Bến xe Vĩnh Long?
2. How would the travel times change if the vehicle’s speed were 60 km/h?
3. What would the total distance be if the vehicle traveled from Bến xe Miền Tây to Bến xe Vĩnh Long in one go?
4. How far would the vehicle travel in 1.5 hours at a speed of 50 km/h?
5. If the vehicle takes a 30-minute break, how does that affect the arrival time?

Tip:
Always double-check the units of distance and speed before calculating time. It ensures accuracy when converting from hours to minutes or kilometers to miles.