The question asks us to find the average speed for Daksh's entire journey. The journey is divided into three parts, each with a specific distance and speed.
Understanding Average Speed
Average speed is defined as the total distance traveled divided by the total time taken. The formula is:
$ \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} $
To find the average speed, we first need to calculate the time taken for each segment of the journey and then find the total distance and total time.
Journey Segment Breakdown
Let's calculate the time taken for each part of the journey using the formula: Time = Distance / Speed.
| Segment | Distance (km) | Speed (km/hr) | Time (hours) |
|---|---|---|---|
| 1 | 200 | 50 | $ \frac{200}{50} = 4 $ |
| 2 | 252 | 42 | $ \frac{252}{42} = 6 $ |
| 3 | 204 | 51 | $ \frac{204}{51} = 4 $ |
Calculating Total Distance and Time
Now, we sum up the distances and times from all segments:
- Total Distance = 200 km + 252 km + 204 km = 656 km
- Total Time = 4 hours + 6 hours + 4 hours = 14 hours
Final Average Speed Calculation
Using the average speed formula with the calculated total distance and total time:
$ \text{Average Speed} = \frac{656 \text{ km}}{14 \text{ hours}} $
$ \text{Average Speed} \approx 46.85714 \text{ km/hr} $
The question requires rounding the answer to two decimal places. Therefore, the average speed is approximately 46.86 km/hr.
Important Questions from Speed Time and Distance
- A bus travelling at 66 km/hr completes a journey in 15 hours. What should be its speed to cover the same distance in 5 hours?
- Train A leaves station M at 8:00 a.m. and reaches station N at 3:00 p.m. on the same day. Train B leaves station N at 10:00 a.m. and reaches station M at 3:00 p.m. on the same day. Find the time when Trains A and B meet.
- A bus travelling at 95 km/hr completes a journey in 10 hours. What should be in its speed to cover the same distance in 5 hours?
Rishi travels 198 km at 66 km/hr, the next 584 km at 73 km/hr and the next 656 km at 82 km/hr. What is his average speed (in km/hr) for the whole journey? (Round off your answer to two decimal places)
A man driving a car at a speed of 54 km/hr crosses a bridge in 1.7 minutes. Find the length of the bridge.
