A car covers first quarter of its journey at a speed of 30kmph , second quarter at 40kmph and the rest at 60kmph. Find its average speed during the journey.
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Let the whole journey be x km.
For the car to travel for the first quarter of the journey, it took (1/4 x)/30 = (1/120) x hr
The second part of the journey, it took (1/4 x)/40 = (1/160)x hr
The last part of the journey, it took (1/2 x)/60 =(1/120)x hr.
The total time would be (1/120)x + (1/160)x + (1/120)x = (11/480)x hr.
The average speed would be x / (11/480)X = 480/11 = 43.6km/h
Explanation:
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