Raghav drives from City A to City B in three equal segments of 40 km each. He drives the first segment at 40 km/hr, the second at 60 km/hr, and the third at 120 km/hr. What is his average speed for the whole trip?
60 km/hr
Total distance \(= 40 + 40 + 40 = 120\) km.
Time for first segment \(= \frac{40}{40} = 1\) hour.
Time for second segment \(= \frac{40}{60} = \frac{2}{3}\) hour.
Time for third segment \(= \frac{40}{120} = \frac{1}{3}\) hour.
Total time \(= 1 + \frac{2}{3} + \frac{1}{3} = 2\) hours.
Average speed \(= \frac{120}{2} = 60\) km/hr.
Hence, Raghav's average speed for the whole trip is 60 km/hr.
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Important Questions from Average Speed
A car runs first 275 km at an average speed of 50 km/h and the next 315 km at an average speed of 70 km/h. What is the average speed ( in km/h) for the entire journey?
Akhil rides first 12 km at a speed of 16 km/h and further 6 km at a speed of 20 km/h. Find his average speed (in km/h).
Shyam drives his car 30 km at a speed of 45 km/h and, for the next 1 h 20 m, he drives it at a speed of 51 km/h. Find his average speed (in km/h) for the entire journey.
X and Y travel a distance of 90 km each such that the speed of Y is greater than that of X. The sum of their speeds is 100 km/h and the total time taken by both is 3 hours 45 minutes. The ratio of the speed of X to that of Y is:
If a man travels at \(\frac{1}{x}\) km/h on a journey and returns at \(\rm \frac{1}{x^2}\) km/h, then his average speed for the journey is:
