Sure! Let's solve the problem step by step.
1. Understanding the question:
- We know the distances between the service stations:
- Distance from A to B is 25 miles.
- Distance from B to C is also 25 miles.
- We also know Aysha's average speeds:
- From A to B, she drives at 50 mph.
- From B to C, she drives at 60 mph.
2. Calculating the time taken to drive from A to B:
- Using the formula [tex]\( \text{Time} = \frac{\text{Distance}}{\text{Speed}} \)[/tex]:
- Distance from A to B = 25 miles.
- Speed from A to B = 50 mph.
- Time taken from A to B [tex]\( = \frac{25 \text{ miles}}{50 \text{ mph}} = 0.5 \text{ hours} \)[/tex].
3. Converting the time taken from A to B into minutes:
- Since 1 hour = 60 minutes:
- Time taken from A to B in minutes [tex]\( = 0.5 \text{ hours} \times 60 = 30 \text{ minutes} \)[/tex].
4. Calculating the time taken to drive from B to C:
- Using the same formula [tex]\( \text{Time} = \frac{\text{Distance}}{\text{Speed}} \)[/tex]:
- Distance from B to C = 25 miles.
- Speed from B to C = 60 mph.
- Time taken from B to C [tex]\( = \frac{25 \text{ miles}}{60 \text{ mph}} = \frac{25}{60} \text{ hours} = \frac{5}{12} \text{ hours} \)[/tex].
5. Converting the time taken from B to C into minutes:
- Since 1 hour = 60 minutes:
- Time taken from B to C in minutes [tex]\( = \frac{5}{12} \text{ hours} \times 60 = 25 \text{ minutes} \)[/tex].
6. Calculating the difference in time:
- Time taken from A to B = 30 minutes.
- Time taken from B to C = 25 minutes.
- Difference in time [tex]\( = 30 \text{ minutes} - 25 \text{ minutes} = 5 \text{ minutes} \)[/tex].
So, the difference in the time Aysha takes to drive from A to B compared to driving from B to C is 5 minutes.
