1 A bus travels 36 km 213 m in one hour. What distance does it cover in 5 hours?
The correct answer and explanation is:
To calculate the total distance the bus covers in 5 hours, we first need to determine its speed in kilometers per hour (km/h).
Step 1: Convert the distance into kilometers
The distance traveled by the bus is 36 km and 213 meters. To make the calculation simpler, let’s convert 213 meters into kilometers.
Since 1 kilometer = 1000 meters, we have: 213 meters=2131000 kilometers=0.213 km213 \, \text{meters} = \frac{213}{1000} \, \text{kilometers} = 0.213 \, \text{km}
So the total distance covered by the bus in one hour is: 36 km+0.213 km=36.213 km36 \, \text{km} + 0.213 \, \text{km} = 36.213 \, \text{km}
Step 2: Calculate the distance covered in 5 hours
Now, knowing that the bus covers 36.213 km in one hour, the distance traveled in 5 hours is: Distance=36.213 km×5=181.065 km\text{Distance} = 36.213 \, \text{km} \times 5 = 181.065 \, \text{km}
Step 3: Conclusion
The bus will cover a distance of 181.065 kilometers in 5 hours.
This result is obtained by multiplying the bus’s speed (36.213 km/h) by the time traveled (5 hours). The calculation demonstrates how to find the total distance based on a constant speed over a specific time. Understanding this concept is crucial in solving real-world problems that involve travel and speed.