A woman covers 30% of his journey by car at 60km/h, next 45% by car at 45km/h, next 15% by car at 60km/hr and rest by walking 5km/h. Find her average speed during the whole journey.
⇒ Average = sum of elements / number of elements
Given,
Let the total distance and total time be d and t respectively.
Given,
(30/100)d at 60 km/h
(45/100)d at 45 km/h
(15/100)d at 60 km/h
And remaining 100 - (30 + 45 + 15) = 10%
⇒ (10/100)d at 5 km/h
⇒ t = [(3d/10)/60] + [(9d/20)/45] + [(3d/20)/60] + [(d/10)/5]
⇒ t = 15d/400
Average rate = d/t
Average rate = 400/15 km/h