A body travels half of its distance with speed 30km/hr and remaining half distance in equal interval of time with speed 40km/hr and 60km/hr. find the average speed of the body during the whole journey
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Explanation:
Let the car travel a distance of 2d km, total.
The first half of the distance takes d km/30 kmph = d/30 hr.
The second half of the distance takes d km/50 kmph = d/50 hr.
So the total time taken to cover 2d km = (d/30)+(d/50) = 80d/150 hr.
The average speed of the car = Total distance/ total time = 2d/[80d/150]
= 2d*150/80d
= 37.5 kmph.
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