A person travels along the sides of an equilateral triangular field at speeds of 36 kmph, 30 kmph and 45 kmph. Find his average speed.
36 kmph
The sides of an equilateral triangle are equal, so equal distances are covered at each speed and the average speed is the harmonic mean.
Average speed = \(\frac{3}{\frac{1}{36} + \frac{1}{30} + \frac{1}{45}}\).
\(\frac{1}{36} + \frac{1}{30} + \frac{1}{45} = \frac{5 + 6 + 4}{180} = \frac{1}{12}\), so average speed = 3 × 12 = 36 kmph.
Hence, 36 kmph.
Similar Questions
A person travels at the speed of 12kmph, 8kmph and 6kmph on the surface of an equilateral triangle. Find the average speed of his journey. (In Kmph)
A person travels along the sides of an equilateral triangular field at speeds of 20 kmph, 24 kmph and 30 kmph. Find the average speed of the journey.
One person travels at a speed of 12 kmph on the surface of an equilateral triangle, 24 kmph and 8 kmph, Find the average speed of it. (In kmph)
A person travels along the sides of an equilateral triangular field at speeds of 36 km/h, 30 km/h and 45 km/h. Find 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.
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?
A car covers a distance of 100 km at a speed of 60 km/h and another 200 km at a speed of 75 km/h, what is the average speed of the car in km/h for the whole journey? (correct to one decimal place)
