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Let's break down the problem in the image and solve it step by step.

The problem states:
- Sally's family is driving 585 miles to visit her grandparents.
- They drive for 5.5 hours on the first day, then stop at a hotel.
- They plan to maintain a speed of 60 miles per hour for the entire trip.

We need to find the equation to determine how many hours, \( h \), Sally’s family needs to drive on the second day to complete the trip.

### Step 1: Distance traveled on the first day
We know:
- They drove for 5.5 hours on the first day.
- Their speed was 60 miles per hour.

Using the distance formula:
\[
\text{Distance} = \text{Speed} \times \text{Time}
\]
So, the distance traveled on the first day is:
\[
60 \times 5.5 = 330 \text{ miles}
\]

### Step 2: Distance left to travel on the second day
The total distance is 585 miles, and they already traveled 330 miles on the first day. Therefore, the remaining distance to travel on the second day is:
\[
585 - 330 = 255 \text{ miles}
\]

### Step 3: Find how many hours are required on the second day
To find how many hours \( h \) they need to drive on the second day, we use the formula again:
\[
\text{Distance} = \text{Speed} \times \text{Time}
\]
We know the remaining distance is 255 miles, and the speed is 60 miles per hour. So:
\[
255 = 60h
\]
Solving for \( h \):
\[
h = \frac{255}{60} = 4.25 \text{ hours}
\]

### Step 4: Selecting the correct equation
From the options provided, the correct equation to represent the situation is:
\[
60(h + 5.5) = 585
\]
This equation reflects that the total driving time for both days adds up to cover the total distance of 585 miles.

### Answer: 
The family expects to drive **4.25 hours** on the second day.

Would you like further clarification, or should we explore this concept deeper? Here are 5 questions to deepen your understanding:

1. How would the equation change if the speed was different on the second day?
2. If the family had driven fewer hours on the first day, how would that affect the second day's driving time?
3. What would happen if the speed on both days was different?
4. How can we use similar equations to solve problems with different speeds for each day?
5. How do you derive the total distance equation when more than two driving days are involved?

**Tip:** When solving word problems involving rates, always organize the information into speed, distance, and time before forming your equation!

Sally's family is going to visit her grandparents for the holidays. They live 585 miles away. Sally's parents plan to drive for 5.5 hours on the first day, then stop at a hotel for the night and complete the rest of the trip on the second day. They plan to maintain an average speed of 60 miles per hour. Which equation can Sally use to find how many hours, h, they can expect to drive on the second day? How many hours can Sally's family expect to drive on the second day?

Learn how to solve a two-step word problem involving distance, time, and speed. The problem covers key algebraic concepts such as forming linear equations and solving for unknown variables. Suitable for Grade 7 students.

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