Cable cars at hill stations are one of the major tourist attractions. On a hill station, the length of cable car ride from base point to top most point on the hill is 5000 m. Poles are installed at equal intervals on the way to provide support to the cables on which car moves.
The distance of first pole from base point is 200 m and subsequent poles are installed at equal interval of 150 m. Further, the distance of last pole from the top is 300 m.
Based on above information, answer the following questions using Arithemtic Progression :
(i) Find the distance of 10th pole from the base. [1 Mark]
(ii) Find the distance between 15th pole and 25th pole. [1 Mark]
(iii) (a) Find the time taken by cable car to reach 15th pole from the top if it is moving at the speed of 5 m/sec and coming from top. [2 Marks]
OR
(iii) (b) Find the total number of poles installed along the entire journey. [2 Marks]