Which example has the greatest speed? A boat sailing 80 km in 2 hours, a car driving 90 km in 2 hours, a train traveling 120 km in 3 hours, or a truck moving 50 km in 1 hour.
Understand the Problem
The question is asking to compare the speeds of different modes of transportation based on the given distances and times, and identify which one has the highest speed.
Answer
The truck has the greatest speed at $50 \text{ km/h}$.
Answer for screen readers
The truck moving 50 km in 1 hour has the greatest speed at $50 \text{ km/h}$.
Steps to Solve
- Calculate the speed of the boat
The speed is calculated using the formula:
$$ \text{Speed} = \frac{\text{Distance}}{\text{Time}} $$
For the boat sailing 80 km in 2 hours:
$$ \text{Speed}_{\text{boat}} = \frac{80 \text{ km}}{2 \text{ hours}} = 40 \text{ km/h} $$
- Calculate the speed of the car
Using the same formula for the car driving 90 km in 2 hours:
$$ \text{Speed}_{\text{car}} = \frac{90 \text{ km}}{2 \text{ hours}} = 45 \text{ km/h} $$
- Calculate the speed of the train
For the train traveling 120 km in 3 hours:
$$ \text{Speed}_{\text{train}} = \frac{120 \text{ km}}{3 \text{ hours}} = 40 \text{ km/h} $$
- Calculate the speed of the truck
For the truck moving 50 km in 1 hour:
$$ \text{Speed}_{\text{truck}} = \frac{50 \text{ km}}{1 \text{ hour}} = 50 \text{ km/h} $$
- Compare the speeds
Now we compare the calculated speeds of all four:
- Speed of the boat: 40 km/h
- Speed of the car: 45 km/h
- Speed of the train: 40 km/h
- Speed of the truck: 50 km/h
The highest speed can be identified from these values.
The truck moving 50 km in 1 hour has the greatest speed at $50 \text{ km/h}$.
More Information
Speed is an important concept in physics and everyday life, often used to compare how fast different modes of transportation can move from one place to another.
Tips
- Confusing distance with speed; remember that speed is distance divided by time.
- Not converting units properly; always ensure that time and distance units are consistent.
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