Let's break down the question into parts and solve each one.

Part (b)(i):

Baity drives her car at a constant speed of $80 \, \text{km/h}$. The distances to be covered are:

• School: $24 \, \text{km}$
• Stadium: $55 \, \text{km}$

We use the formula for time: $\text{Time (hours)} = \frac{\text{Distance (km)}}{\text{Speed (km/h)}}$

1. Time to the school: $\text{Time} = \frac{24}{80} = 0.3 \, \text{hours}$ Convert to minutes: $0.3 \times 60 = 18 \, \text{minutes}$

2. Time to the stadium: $\text{Time} = \frac{55}{80} = 0.6875 \, \text{hours}$ Convert to minutes: $0.6875 \times 60 = 41.25 \, \text{minutes} \, \text{(approximately 41 minutes 15 seconds)}.$

Answer for Part (i):

• Time to the school: 18 minutes
• Time to the stadium: 41 minutes 15 seconds

Part (b)(ii):

Baity needs to reach the stadium for a football match starting at 9:25 am, and the journey to the stadium is $55 \, \text{km}$ at $110 \, \text{km/h}$.

1. Calculate the time taken to reach the stadium: $\text{Time (hours)} = \frac{\text{Distance (km)}}{\text{Speed (km/h)}} = \frac{55}{110} = 0.5 \, \text{hours}$ Convert to minutes: $0.5 \times 60 = 30 \, \text{minutes}.$

2. To arrive on time, Baity must be at the stadium by 9:25 am. Subtracting the 30 minutes travel time, she must leave her house at: $9:25 \, \text{am} - 30 \, \text{minutes} = 8:55 \, \text{am}.$

Answer for Part (ii): Baity must leave her house at 8:55 am to reach the stadium on time.

Summary of Answers:

1. Part (i):

   • Time to school: 18 minutes
   • Time to stadium: 41 minutes 15 seconds

2. Part (ii):

   • Baity must leave at 8:55 am to arrive at the stadium before the kick-off.

Would you like a detailed explanation for any specific part? Here are some related questions for further practice:

1. What is the total travel time if Baity visits both the school and the stadium on the same day?
2. If Baity's car slows down to $60 \, \text{km/h}$, how would her travel times change?
3. How far does Baity travel in total if she drives from her home to the school and then to the stadium?
4. Calculate the average speed if Baity takes $1 \, \text{hour}$ for a round trip to the school and stadium.
5. If Baity starts 5 minutes late, what would her new departure time be to still reach the stadium on time?

Tip: Always check units (hours vs. minutes) carefully when solving speed, distance, and time problems.