A passenger arriving in a new town wishes to go from the station to a hotel located 10 km away on a straight road from the station . A dishonest cabman takes him along a circuitous path 23 km long and reaches the hotel in 28 min . What is (a) the average speed of the texi and (b) the magnitude of average velocity ?
Are the two equal ?

Explanation

To solve the problem step by step, we will calculate the average speed and the average velocity of the taxi.

### Step 1: Calculate the Average Speed
The average speed is defined as the total distance traveled divided by the total time taken.

1. **Total Distance Traveled**: The cabman took a circuitous route of 23 km.
2. **Total Time Taken**: The time taken is 28 minutes. We need to convert this into hours for the speed calculation:
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