A person covers 11 km at a speed of 3 km/h, 21 km at a speed of 5 km/h and 37 km at a speed of 10 km/h. Find the average speed for the entire journey.
The correct answer is 5 \frac{335}{347} km/h.
In this problem, the person travels at different speeds, so the overall journey is with non-uniform speed, necessitating the average speed calculation. Average of Speeds: Average speed (Total Distance / Total Time) is generally not equal to the average of the speeds of different segments, especially if the time taken for each segment is different. The average of speeds would only be correct if the time taken for each segment was equal.
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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?
