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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.

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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.


1). 200/16 km/h
2). 120/17 km/h
3). 200/13 km/h
4). 400/15 km/h


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Answered by on | Votes 1 |

⇒ 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

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