CBSE Class 10 Maths (Basic) 2024 · Paper 430/S/1 · Question 36

Arithmetic Progressions 4 marks Very hard

The marathon is a long-distance foot race with a distance of 42.195 km, usually run as a road race, but the distance can be covered on trail routes. The marathon can be completed by running or with a run/walk strategy. The marathon was one of the original modern Olympic events in 1896. Neha, a student of class X, wishes to participate in a marathon. She decided to begin her practice by gradually increasing her running distance. In the first week, she decided to run 3 km each day and increase the distance by 2 km each week, i.e., in the second week she would run 5 km each day, in the third week she would run 7 km each day and so on.

(i)What distance will Neha cover each day of the $8^{t h}$ week of her practice?[1]
(ii)In which week would she be able to run for 45 km each day?[1]
(iii)(a)What is the total distance covered by Neha after 11 weeks, if she practised for 5 days in each week?[2]
(iii)(b)Had she increased the distance by 3 km each week instead of 2 km each week, in how many weeks would she have trained herself to run for 42 km per day?[2]

Answer

(i)

17

km each day; (ii) The

22

nd week; (iii)(a)

715

km in all; (iii)(b)

14

weeks.

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CBSE Class 10 Maths (Basic) 2024 · Paper 430/S/1 · Question 36

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