A bus travels 40 km in 30 minutes. If the speed of the bus remains the same, how far can it travel in 3 hours?
Understand the Problem
The image contains two questions, the first is an algebra equation to simplify. The second question is a word problem involving calculating distance based on speed and time. We will focus on the second question, which asks you to calculate how far a bus can travel in 3 hours if it travels 40 km in 30 minutes, assuming the speed remains the same.
Answer
The bus can travel 240 km in 3 hours.
Answer for screen readers
The bus can travel 240 km in 3 hours.
Steps to Solve
- Find the speed of the bus
The bus travels 40 km in 30 minutes. Since 30 minutes is half an hour, the bus travels 40 km in 0.5 hours. To find the speed, we divide the distance by the time:
$speed = \frac{distance}{time} = \frac{40 \text{ km}}{0.5 \text{ hours}} = 80 \text{ km/hour}$
- Calculate the distance traveled in 3 hours
Now that we know the speed of the bus is 80 km/hour, we can calculate how far it travels in 3 hours by multiplying the speed by the time:
$distance = speed \times time = 80 \text{ km/hour} \times 3 \text{ hours} = 240 \text{ km}$
The bus can travel 240 km in 3 hours.
More Information
The problem assumes that the bus maintains a constant speed throughout the entire 3-hour journey, which is a simplification of real-world scenarios where speed can vary due to traffic, road conditions, and other factors.
Tips
A common mistake is failing to convert the time units correctly (minutes to hours) or not keeping the units consistent throughout the calculation. For example, not realizing that 30 minutes is 0.5 hours. Another mistake would be to divide time by distance instead of dividing distance by time when computing speed.
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