A bus travels 54 km in 90 minutes. The speed of the bus is with explanation
The correct answer and explanation is:
To find the speed of the bus, the formula used is: Speed=DistanceTime\text{Speed} = \frac{\text{Distance}}{\text{Time}}
In this case, the bus travels a distance of 54 kilometers in 90 minutes. However, the time needs to be in hours for the speed to be in kilometers per hour (km/h). To convert 90 minutes into hours, divide by 60: 90 minutes=9060=1.5 hours90 \, \text{minutes} = \frac{90}{60} = 1.5 \, \text{hours}
Now, using the formula for speed: Speed=54 km1.5 hours=36 km/h\text{Speed} = \frac{54 \, \text{km}}{1.5 \, \text{hours}} = 36 \, \text{km/h}
Thus, the speed of the bus is 36 kilometers per hour.
Explanation
Speed refers to how fast an object is moving, and it’s typically measured as the distance traveled per unit of time. In this problem, the bus travels a certain distance over a period of time, so by dividing the total distance by the time, we can determine its average speed.
The time of 90 minutes was first converted to hours, because speed is generally expressed in kilometers per hour (km/h) in this context. The formula used—distance divided by time—is a fundamental concept in physics and is one of the basic ways to calculate speed.
The result, 36 km/h, means that on average, the bus is moving at 36 kilometers every hour over the entire 90-minute period. This value represents a constant speed, assuming that the bus is moving at a steady rate and there are no interruptions in its motion. This simple formula is applicable in various real-life situations, from vehicles on the road to objects in motion in scientific experiments.