Problems Involving Average Speed


 
 
Concept Explanation
 

Problems Involving Average Speed

Suppose a person covers certain distance at the speed x Km/hr and then covers an equal distance at speed of y Km/hr. Then the average speed during the whole journey is given by

frac{2xy}{x+y};Km/hr

Proof: Let the distance traveled be m km

Time taken to cover the distance of m Kms at the speed of x Km/Hr

Time_1=frac{Distance}{Speed}= frac{m}{x};hr

Time taken to cover the distance of m Kms at the speed of y Km/Hr

Time_2=frac{Distance}{Speed}= frac{m}{y};hr

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Sample Questions
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Question : 1

A man completes 30 km of a journey at 6 km/h and the remaining 40 km of the journey in 5 h. His average speed for the whole journey is ____________ .

Right Option : C
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Question : 2

Mr Kumar drives to work at an average speed of 48 km/h. Time taken to drive first 60%of the distance is 10 minutes more than the time taken to cover the remaining distance. How far is his office.

Right Option : C
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