CBSE Class 10 Maths (Standard) 2025 · Paper 30/4/1 · Question 37

Arithmetic Progressions 4 marks Medium

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

5, 000

m. Poles are installed at equal intervals on the way to provide support to the cables on which the cars travel. The distance of first pole from base point is

200

m and subsequent poles are installed at an 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 Arithmetic Progression.

(i)Find the distance of $1 0^{th}$ pole from the base.[1]
(ii)Find the distance between $1 5^{th}$ pole and $2 5^{th}$ pole.[1]
(iii)(a)Find the time taken by cable car to reach $1 5^{th}$ pole from the top if it is moving at the speed of $5$ m/sec and coming down from top.[2]
(iii)(b)OR — Find the total number of poles installed along the entire journey.[2]

Answer

(i) The 10th pole is

1550

m from the base; (ii) The 15th and 25th poles are

1500

m apart; (iii)(a) The car takes

480

s (

8

minutes) to reach the 15th pole from the top; (iii)(b) There are

31

poles in all.

🔒 Step-by-step solution

From the board paper

CBSE Class 10 Maths (Standard) 2025 · Paper 30/4/1, Question 37 — all 38 questions with answers →

CBSE Class 10 Maths (Standard) 2025 · Paper 30/4/1 · Question 37

Answer

From the board paper

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