A man walks on a straight road from his home to a moardet `3 km` away with a speed of`6 km//h`. Finding the market closed, he instantly turns and walks back with a speed of `9 km//h`. What is the (a) magnitude of average velocity and (b) averge speed of the man, over the interval of time (i) `0 to 30 min`, (ii) `0to 50 min`, (iii) `0 to 40 min`?

Explanation

To solve the problem step by step, we will calculate the average speed and average velocity of the man over the specified time intervals.

### Given Data:
- Distance to the market (d) = 3 km
- Speed to the market (v1) = 6 km/h
- Speed back home (v2) = 9 km/h

### Step 1: Calculate the time taken to reach the market
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