CBSE Class 10 Maths (Standard) 2025 · Paper 30/6/1 · Question 37
In order to organise Annual Sports Day, a school prepared an eight lane running track with an integrated football field inside the track area as shown in the figure. The length of the innermost lane of the track is m and each subsequent lane is m longer than the preceding lane. Based on the given information, answer the following questions, using the concept of Arithmetic Progression.
- (i)What is the length of the 6th lane?[1]
- (ii)How long is the 8th lane than that of the 4th lane?[1]
- (iii)(a)While practicing for a race, a student took one round each in first six lanes. Find the total distance covered by the student.[2]
- (iii)(b)OR — A student took one round each in lane 4 to lane 8. Find the total distance covered by the student.[2]
Answer
(i) The length of the 6th lane is m; (ii) The 8th lane is m longer than the 4th lane; (iii)(a) The total distance covered in the first six lanes is m; (iii)(b) The total distance covered in lanes to is m.
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