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Q.

A man walks on a straight road from his home to a market Question Image away with a speed of Question Image. Finding the market closed , he immediately turns and walks back home with a speed of Question Image. The average speed of the man over the interval of time zero to forty minutes is equal to:


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a

Question Image

b

Question Image

c

Question Image

d

Question Image 

answer is D.

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Detailed Solution

Concept- Total time and total distance are required to calculate a man's average speed from 0 to 40 minutes.  The total distance is calculated by adding 2.5 kilometres to the distance from market to home, which can be calculated using the distance formula.
It takes time to get from house to market. Question Image.
He returns back with speed of Question Image in the rest of time, that is, 10 minutes.
Distance Question ImageAverage speed Question Image=2.5+1.25 km4960hr
= 458
=5.625 km/hr
Hence, option 4 is the correct answer.
 
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