To determine the average speed for the rider's entire journey, we calculate the total distance traveled and the total time taken using the formula: Average Speed = Total Distance / Total Time.
Journey Segments Speed Times
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Segment 1: The rider travels 60 km at 30 km/h.
Time\(_1\) = \(\frac{\text{Distance}_1}{\text{Speed}_1} = \frac{60 \text{ km}}{30 \text{ km/h}} = 2 \text{ hours}\). -
Segment 2: The rider travels 40 km at 20 km/h.
Time\(_2\) = \(\frac{\text{Distance}_2}{\text{Speed}_2} = \frac{40 \text{ km}}{20 \text{ km/h}} = 2 \text{ hours}\). -
Segment 3: The rider covers 50 km at 25 km/h.
Time\(_3\) = \(\frac{\text{Distance}_3}{\text{Speed}_3} = \frac{50 \text{ km}}{25 \text{ km/h}} = 2 \text{ hours}\).
Total Distance and Time
Total Distance for the journey = Distance\(_1\) + Distance\(_2\) + Distance\(_3\)
Total Distance = \(60 \text{ km} + 40 \text{ km} + 50 \text{ km} = 150 \text{ km}\).
Total Time for the journey = Time\(_1\) + Time\(_2\) + Time\(_3\)
Total Time = \(2 \text{ hours} + 2 \text{ hours} + 2 \text{ hours} = 6 \text{ hours}\).
Average Speed Calculation
Now, calculate the average speed using the total distance and total time:
Average Speed = \(\frac{\text{Total Distance}}{\text{Total Time}}\)
Average Speed = \(\frac{150 \text{ km}}{6 \text{ hours}}\)
Average Speed = \(25 \text{ km/h}\).
The average speed of the rider for the entire journey is 25 km/h.
Similar Questions
A cyclist covers 120 meters in 16 seconds on a straight road, then immediately covers 180 meters in 24 seconds on a similar road segment. What is the average speed of the cyclist during the entire journey?
A runner completes one lap of a 200 meter circular track in 50 seconds. What is the average speed of the runner?
If a scooter travels at a constant speed of 25 km per hour, how far will it travel in 4 hours?
- Raj takes $2 \frac{1}{3}$ hours to complete a certain distance at a speed of 51 km/hr. What time would Kiran take to complete the same distance at a speed of 68km/hr?
Important Questions from Speed Time and Distance
The average speed of a train is 180% of the average speed of a car. The car covers a distance of 990 km in 15 hours. The time taken (in hours) by the train to cover the distance of 891 km is:
If Rohit can cover a distance of 1188 km in 22 hours, then what is the speed of Rohit?
A train is moving at 72 km/hrs. The distance covers in 15 minutes by the train is:
If Sonu is driving a car at a speed of 20 m/s, then in how much time Sonu will cover a distance of 936 km?
A person crosses a 1600 m long street in 4 min. What is his speed (in km/h)?
