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` minutes . What is (a) the average speed of the taxi, (b) the magnitude of average velocity ? Are the two equal ?

Explanation

To solve the problem, we will break it down into two parts: calculating the average speed of the taxi and the magnitude of the average velocity.

### Step-by-Step Solution:

**(a) Average Speed of the Taxi:**

1. **Identify the total distance covered by the taxi.**
- The taxi takes a circuitous path of 23 km.
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