Question 52

A person travels one fourth of his distance with 20 km/hr,half of the distance with 40 km/hr and the rest of the distance with 10 km/hr.What is his average speed throughout the journey ?

Solution

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Average speed=Total distance/Total time
Time=distance/speed
Let total distance=x
Time taken for one fourth distance=(x/4)/20=x/80
Time taken for half the distance=(x/2)/40=x/80
Time taken for the other one fourth=(x/4)/10=x/40
Total time=4x/80
=x/20
Average speed=(x)/(x/20)
=20 km/hr

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