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

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

1. A
2. B
3. C
4. D

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### 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. .
He returns back with speed of in the rest of time, that is, 10 minutes.
Distance Average speed

Hence, option 4 is the correct answer.

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