Question
The highway has a maximum speed limit of 55 mph. Which vehicles are safely obeying this speed limit? Check the three that apply. (3 points)
An ambulance travels 150 miles in 2 hours.
A train travels 182 miles in 2 hours.
A limousine travels 318 miles in 6 hours.
• A sports car travels 216 miles in 4 hours.
• A school bus travels 162 miles in 3 hours.
An ambulance travels 150 miles in 2 hours.
A train travels 182 miles in 2 hours.
A limousine travels 318 miles in 6 hours.
• A sports car travels 216 miles in 4 hours.
• A school bus travels 162 miles in 3 hours.
Answers
GPT-4o mini
To determine which vehicles are safely obeying the 55 mph speed limit, we need to calculate the speed of each vehicle using the formula:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]
Let's calculate the speed for each vehicle:
1. **Ambulance:**
\[
\text{Speed} = \frac{150 \text{ miles}}{2 \text{ hours}} = 75 \text{ mph}
\]
2. **Train:**
\[
\text{Speed} = \frac{182 \text{ miles}}{2 \text{ hours}} = 91 \text{ mph}
\]
3. **Limousine:**
\[
\text{Speed} = \frac{318 \text{ miles}}{6 \text{ hours}} = 53 \text{ mph}
\]
4. **Sports Car:**
\[
\text{Speed} = \frac{216 \text{ miles}}{4 \text{ hours}} = 54 \text{ mph}
\]
5. **School Bus:**
\[
\text{Speed} = \frac{162 \text{ miles}}{3 \text{ hours}} = 54 \text{ mph}
\]
Now, let's compare each calculated speed to the 55 mph speed limit:
- **Ambulance:** 75 mph (exceeds the limit)
- **Train:** 91 mph (exceeds the limit)
- **Limousine:** 53 mph (within the limit)
- **Sports Car:** 54 mph (within the limit)
- **School Bus:** 54 mph (within the limit)
The vehicles that are obeying the 55 mph speed limit are:
- Limousine (53 mph)
- Sports Car (54 mph)
- School Bus (54 mph)
So, the three vehicles that are safely obeying the speed limit are the **limousine, sports car, and school bus**.
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]
Let's calculate the speed for each vehicle:
1. **Ambulance:**
\[
\text{Speed} = \frac{150 \text{ miles}}{2 \text{ hours}} = 75 \text{ mph}
\]
2. **Train:**
\[
\text{Speed} = \frac{182 \text{ miles}}{2 \text{ hours}} = 91 \text{ mph}
\]
3. **Limousine:**
\[
\text{Speed} = \frac{318 \text{ miles}}{6 \text{ hours}} = 53 \text{ mph}
\]
4. **Sports Car:**
\[
\text{Speed} = \frac{216 \text{ miles}}{4 \text{ hours}} = 54 \text{ mph}
\]
5. **School Bus:**
\[
\text{Speed} = \frac{162 \text{ miles}}{3 \text{ hours}} = 54 \text{ mph}
\]
Now, let's compare each calculated speed to the 55 mph speed limit:
- **Ambulance:** 75 mph (exceeds the limit)
- **Train:** 91 mph (exceeds the limit)
- **Limousine:** 53 mph (within the limit)
- **Sports Car:** 54 mph (within the limit)
- **School Bus:** 54 mph (within the limit)
The vehicles that are obeying the 55 mph speed limit are:
- Limousine (53 mph)
- Sports Car (54 mph)
- School Bus (54 mph)
So, the three vehicles that are safely obeying the speed limit are the **limousine, sports car, and school bus**.