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:
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172 miles in 4 hours: \[ \text{Speed} = \frac{172 \text{ miles}}{4 \text{ hours}} = 43 \text{ miles per hour} \]
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205 miles in 5 hours: \[ \text{Speed} = \frac{205 \text{ miles}}{5 \text{ hours}} = 41 \text{ miles per hour} \]
-
97 miles in 2 hours: \[ \text{Speed} = \frac{97 \text{ miles}}{2 \text{ hours}} = 48.5 \text{ miles per hour} \]
-
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.