A cyclist travels 120 km in 3 hours, rests for 1 hour, and then travels another 80 km in 2 hours. To determine the cyclist's average speed for the entire journey, which of the following quantities should be used?
Total distance travelled divided by the total time taken
To find the average speed of the cyclist for the entire journey, we follow these steps:
- Determine the total distance travelled by the cyclist:
- The cyclist travelled 120 km in the first part of the journey.
- The cyclist then travelled an additional 80 km in the second part of the journey.
- Therefore, the total distance travelled is: \(120 + 80 = 200 \text{ km}\).
- Determine the total time taken for the journey:
- The time taken to travel the first 120 km was 3 hours.
- The cyclist then rests for 1 hour.
- The time taken to travel the next 80 km was 2 hours.
- Therefore, the total time for the journey is: \(3 + 1 + 2 = 6 \text{ hours}\).
- Calculate the average speed of the cyclist:
- The average speed is defined as the total distance travelled divided by the total time taken.
- Using the values from the above steps: \(\text{Average Speed} = \frac{200 \text{ km}}{6 \text{ hours}}\).
- This simplifies to: \(33.33 \text{ km/h} (\text{rounded to 2 decimal places})\).
Therefore, the correct option according to the question is: Total distance travelled divided by the total time taken, which matches the method we used to calculate the average speed.
Similar Questions
Which of the following statements correctly describes average velocity and its SI unit?
A car travels on a highway, and its odometer records a reading of 180 km at 8:00 am and 240 km at 9:30 am. Based on this information, which statement best describes the car's average speed during this interval?
A car travels 90 km east and then 30 km west along the same straight road. If the entire journey takes 3 hours, what is the average velocity of the car?
A car travels 60 km north in 2 hours, then 40 km south in the next 1 hour. What is the car’s average velocity over the entire trip?
Which of the following best describes the function of a speedometer in a vehicle?
A cyclist rides 60 meters north, then 80 meters south, and finally 70 meters north. What is the total distance the cyclist has traveled?
A car travels from point A to point B in a zigzag path, covering a total distance of 200 meters. If the shortest straight-line distance between A and B is 120 meters, which statement best describes the car’s distance and displacement?
Why is speed called a scalar quantity?
Important Questions from Speed and Velocity
The basic unit of speed of an object is ______.
Which of the following quantities specifies its speed with direction?
- Which of the following represents non-uniform linear velocity?
- Which of the following describes the nature of the average speed?
- An object moving at 25 m/s is brought to rest in 5 seconds. The final velocity is _________.
