Calculating Average Speed for Car Travel
This question asks us to find the average speed of a car over its entire journey. The journey is split into two parts, each with a different distance and time.
Understanding Average Speed
Average speed is defined as the total distance traveled divided by the total time taken to travel that distance. The formula is:
$$ \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} $$
Steps to Calculate Average Speed
- Calculate the total distance traveled by the car.
- Calculate the total time taken for the journey.
- Divide the total distance by the total time to find the average speed.
Step 1: Calculate Total Distance
The car travels in two parts:
- Part 1 Distance: 300 km
- Part 2 Distance: 150 km
Total Distance = Distance (Part 1) + Distance (Part 2)
$$ \text{Total Distance} = 300 \, \text{km} + 150 \, \text{km} = 450 \, \text{km} $$
Step 2: Calculate Total Time
The time taken for each part of the journey is given:
- Part 1 Time: 4 h
- Part 2 Time: 5 h
Total Time = Time (Part 1) + Time (Part 2)
$$ \text{Total Time} = 4 \, \text{h} + 5 \, \text{h} = 9 \, \text{h} $$
Step 3: Calculate Average Speed
Now, we use the formula for average speed with the calculated total distance and total time:
$$ \text{Average Speed} = \frac{450 \, \text{km}}{9 \, \text{h}} $$
$$ \text{Average Speed} = 50 \, \text{km/h} $$
Conclusion
The average speed of the car for the entire journey is 50 km/h. This value represents the constant speed at which the car would need to travel to cover the total distance in the total time.
Similar Questions
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- A person covers a distance of 40 km by bus in 70 mins. After deboarding the bus, he took a rest for 40 mins and covered another 20 km by taxi in 40 mins. Find his average speed for the whole journey.
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- A man walks from point A to B at a speed of 15 km/h, but comes back from point B to A at a speed of 25 km/h. Find his average speed.
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Reshma covers 45 km at a speed of 15 km/h by bicycle, 80 km at a speed of 40 km/h by car, and another 6 km at a speed of 2 km/h on foot. Find her average speed for the whole journey (correct to 2 decimal places).
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Important Questions from Average Speed
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?
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?
A scooter from P to Q travels at 40 km/h and from Q to P at 30 km/h. What is the average speed of the scooter?
To cover a distance of 144 km in 3.2 hours what should be the average speed of the car in meters/second?
A cylindrical road roller having a diameter of 1.5 m moves at a speed of 3km/h while levelling a road. How much length of the road will be levelled in 45 minutes?
