Question 48 (Case Based Question) - CBSE Class 12 Sample Paper for 2022 Boards (MCQ Based - for Term 1) - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at August 10, 2026 by Teachoo

The most economical speed to run the train is:

(a) 18 km/h (b)5 km/h (c) 80 km/h (d) 40 km/h

Ques 48 (Case Based) - The most economical speed to run the train is: - CBSE Class 12 Sample Paper for 2022 Boards (MCQ Based - for Term 1)

part 2 - Question 48 (Case Based Question) - CBSE Class 12 Sample Paper for 2022 Boards (MCQ Based - for Term 1) - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards - Class 12

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Question 48 The most economical speed to run the train is: (a) 18 km/h (b)5 km/h (c) 80 km/h (d) 40 km/h We need to find minimise Cost Now, Cost = C(v) = 𝟑𝟕𝟓/𝟒 𝒗 + 𝟔𝟎𝟎𝟎𝟎𝟎/𝒗 Differentiating w.r.t v C’(v) = 𝟑𝟕𝟓/𝟒 − 𝟔𝟎𝟎𝟎𝟎𝟎/𝒗^𝟐 Putting C’(v) = 0 0 = 375/4 − 600000/𝑣^2 600000/𝑣^2 = 375/4 600000 ×4/375 = 𝑣^2 600000 ×4/375 = 𝑣^2 1600 × 4 = 𝒗^𝟐 40 × 2 = 𝒗 80 = 𝒗 𝒗 = 80 km/hr So, the correct answer is (c)

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