Ashok covered a distance of 225 km as follows. He covered the first 15 km at 45 km/hr, the next 120 km at 60 km/hr and the remaining journey at 90 km/hr. Find his average speed for the journey of 225 km
Question
Ashok covered a distance of 225 km as follows. He covered the first 15 km at 45 km/hr, the next 120 km at 60 km/hr and the remaining journey at 90 km/hr. Find his average speed for the journey of 225 km
Solution
To find the average speed, we need to know the total distance travelled and the total time taken.
The total distance travelled by Ashok is given as 225 km.
The time taken for each segment of the journey can be found by dividing the distance by the speed.
- For the first 15 km at 45 km/hr, time = distance/speed = 15/45 = 0.33 hours
- For the next 120 km at 60 km/hr, time = distance/speed = 120/60 = 2 hours
- For the remaining journey (225 - 15 - 120 = 90 km) at 90 km/hr, time = distance/speed = 90/90 = 1 hour
So, the total time taken = 0.33 + 2 + 1 = 3.33 hours
The average speed is then given by the total distance divided by the total time, i.e., 225 km / 3.33 hours = 67.57 km/hr.
So, Ashok's average speed for the journey of 225 km is approximately 67.57 km/hr.
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