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 the magnitude of average velocity?

A man walks on a straight road from his home to a market 2.5 km away with a speed of 5 km. h^(-1) . Finding the market closed he instantly turns and walks back home with a speed of 7.5 km. h^(-1) . What is the (a) magnitude of average velocity and

After meeting our teacher at the station, Paresh and accompanied him to the ceremony, house in a taxi and reached the place in 18 min. If the speed of the taxi is 35km/hr. What is the distance of the place from the station.

A man walks on a straight road from his home to a market 2.5 km away with a speed of 5 km. h^(-1) . Finding the market closed he instantly turns and walks back home with a speed of 7.5 km. h^(-1) . What is the average speed of the man over the interval of time (i) 0 to 30 min (ii) 0 to 50 min (iii) 0 to 40 min? [Note: you will appreciate speed as total path length divided by time and not as magnitude of average velocity. You would not like to tell the tired man on his return home that his average speed was zero! ]