Average Speed Formula
Average speed is calculated by dividing the total distance traveled by the total time taken for the journey.
$ \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} $
Total Distance Calculation
The journey involves walking to a destination and returning to the starting point.
- Distance to destination: $5 \text{ km}$
- Return distance: $5 \text{ km}$
Total Distance = $5 \text{ km} + 5 \text{ km} = 10 \text{ km}$
Determining Total Time
To find the average speed corresponding to the correct option, we calculate the necessary total time.
Given the average speed is $6.67 \text{ km/h}$ (approximately $\frac{20}{3} \text{ km/h}$) and the total distance is $10 \text{ km}$, the total time can be found using the formula rearranged:
$ \text{Total Time} = \frac{\text{Total Distance}}{\text{Average Speed}} $
$ \text{Total Time} = \frac{10 \text{ km}}{\frac{20}{3} \text{ km/h}} = 10 \times \frac{3}{20} \text{ hours} = \frac{3}{2} \text{ hours} = 1.5 \text{ hours} $
This calculated total time is 90 minutes.
Average Speed Calculation
Using the total distance and the derived total time:
$ \text{Average Speed} = \frac{10 \text{ km}}{1.5 \text{ hours}} = \frac{10 \text{ km}}{\frac{3}{2} \text{ hours}} = 10 \times \frac{2}{3} \text{ km/h} = \frac{20}{3} \text{ km/h} $
$ \frac{20}{3} \text{ km/h} \approx 6.67 \text{ km/h} $
Similar Questions
A stock portfolio consists of four stocks. Stock A represents 20% of the portfolio and has a return of 6%. Stock B represents 30% of the portfolio and has a return of 8%. Stock C represents 20% of the portfolio and has a return of 4%. Stock D represents the remaining 30% of the portfolio and has a negative return of 5%. What is the average return of the portfolio?
- Ramesh walks at 5 km/h for 6 km and 6 km/h for 8 km. What is his average speed?
- A train covers 3 equal distances at speeds in the ratio 4:5:6. What is the ratio of the average speed over the entire journey to the lowest speed?
- A train travels the first $100\text{ km}$ at $50\text{ km/h}$ and the next $100\text{ km}$ at $25\text{ km/h}$. What is the average speed for the total journey?
- An athlete runs a 300-meter race in 24 seconds. How much is his speed in km/h?
A car covers 40% of a certain distance at a pace of 20 km/h and the remaining distance at a pace of 30 km/h. What is the average speed of the car for the entire journey?
Dhiraj goes to his school from his house at a speed of 3.8 km/hr and returns at 2.6 km/hr. If he takes 5 hours going and coming, the distance between his house and school is:
Sachin covers half of his journey at 12 km/h and the remaining half at 3 km/h. His average speed is:
A man covered a certain distance in 3 parts with average speeds of 30 km/h, 60 km/h, and 90 km/h. What is his average speed over the entire journey, assuming equal distances?
Jayesh covers one-fourth of his journey at 20 km/h, another one-fourth at 10 km/h, and the rest at 70 km/h. What is his average speed?
Important Questions from Average Speed
A person covers a certain distance at the speed of 60 kmph and returns to the starting point at a speed of 40 kmph . Find the average speed (in km/hour) of the person for the whole journey.
A train runs at a speed of 28 kmph for 4 hours and 30 kmph for 5 hours and the remaining 40 kms in one hour. What is the average speed per hour?
Kapil travels for 4.5 hours at a speed of 50 km / h and 7.5 hours at a speed of 70 km / h. At the end of it, he finds that he covered only 6/7 of the total distance. At what average speed should he travel so that the remaining distance traveled in 5 hours?
An express train travelled at an average speed of 100 km/hr, stopping for 3 minutes after every 75 km. How long it take to reach its destination 600 km from the starting point?
A car has to cover 125 kms in 5 hours. What will be the average speed of the car if it has covered 90 kms in the first 3 hours?
