A bus travels with an average velocity of 60 km per hour. how long does it take to cover a distance of 500km
The Correct Answer and Explanation is:
To calculate the time it takes for a bus to travel a distance of 500 kilometers with an average velocity of 60 kilometers per hour, we use the formula:Time=DistanceSpeed\text{Time} = \frac{\text{Distance}}{\text{Speed}}Time=SpeedDistance
Given:
- Distance = 500 km
- Speed = 60 km/h
Time=500 km60 km/h=8.3‾ hours≈8 hours and 20 minutes\text{Time} = \frac{500\ \text{km}}{60\ \text{km/h}} = 8.\overline{3}\ \text{hours} \approx 8\ \text{hours and 20\ minutes}Time=60 km/h500 km=8.3 hours≈8 hours and 20 minutes
Explanation:
In physics, motion in a straight line at constant speed is considered uniform motion. For uniform motion, the relationship between distance, speed, and time is expressed as:Distance=Speed×Time\text{Distance} = \text{Speed} \times \text{Time}Distance=Speed×Time
Rearranging the formula allows for solving any one of the three variables when the other two are known. In this case, the distance the bus travels and its average speed are known, so the time can be found by rearranging the formula:Time=DistanceSpeed\text{Time} = \frac{\text{Distance}}{\text{Speed}}Time=SpeedDistance
The distance to be covered is 500 km and the average speed is 60 km/h. Dividing the distance by the speed yields the time required to cover the journey.500÷60=8.333 hours500 \div 60 = 8.333\ \text{hours}500÷60=8.333 hours
This result is in decimal hours. To convert the decimal part into minutes:0.333×60=20 minutes0.333 \times 60 = 20\ \text{minutes}0.333×60=20 minutes
Thus, the bus takes 8 hours and 20 minutes to travel 500 kilometers at an average speed of 60 km/h.
This type of problem is a fundamental application of the formula relating distance, speed, and time, and it illustrates how important units are in solving real-world motion problems.
