Question

Which of the following cars is traveling at the fastest rate of speed?

172 miles in 4 hours
205 miles in 5 hours
97 miles in 2 hours
141 miles in 3 hours

Answer 1

To determine which car is traveling at the fastest rate of speed, we need to calculate the speed for each car using the formula:

\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]

Now, let's calculate the speed for each option:

1. **172 miles in 4 hours**:
\[
\text{Speed} = \frac{172 \text{ miles}}{4 \text{ hours}} = 43 \text{ miles per hour}
\]

2. **205 miles in 5 hours**:
\[
\text{Speed} = \frac{205 \text{ miles}}{5 \text{ hours}} = 41 \text{ miles per hour}
\]

3. **97 miles in 2 hours**:
\[
\text{Speed} = \frac{97 \text{ miles}}{2 \text{ hours}} = 48.5 \text{ miles per hour}
\]

4. **141 miles in 3 hours**:
\[
\text{Speed} = \frac{141 \text{ miles}}{3 \text{ hours}} = 47 \text{ miles per hour}
\]

Now we can compare the calculated speeds:
- **172 miles in 4 hours**: 43 mph
- **205 miles in 5 hours**: 41 mph
- **97 miles in 2 hours**: 48.5 mph
- **141 miles in 3 hours**: 47 mph

The fastest rate of speed is from the car traveling **97 miles in 2 hours** at **48.5 miles per hour**.