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 Dec. 16, 2024 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

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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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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo

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