A taxi company fixes the fare for a city ride in such a way that the first kilometre costs Rs. 40 and each subsequent kilometre costs Rs. 3 more than the fare for the immediately preceding kilometre.
Answer the following questions based on a 20 km ride made by a passenger.
(i) Give reasons to show that the per-kilometre fares form an arithmetic progression and write its first term and common difference.
(ii) Calculate the fare charged for the 20th kilometre.
(iii) Find the total fare paid by the passenger for the complete 20 km journey.