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Question 46 (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 fuel cost per hour for running a train is proportional to the square of the speed it generates in km per hour. If the fuel costs ₹ 48 per hour at speed 16 km per hour and the fixed charges to run the train amount to ₹ 1200 per hour. Assume the speed of the train as 𝑣 km/h.

 

Transcript

Question 46 – 50 are based on Case Study -2 The fuel cost per hour for running a train is proportional to the square of the speed it generates in km per hour. If the fuel costs ₹ 48 per hour at speed 16 km per hour and the fixed charges to run the train amount to ₹ 1200 per hour. Assume the speed of the train as 𝑣 km/h. Question 46 Given that the fuel cost per hour is 𝑘 times the square of the speed the train generates in km/h, the value of 𝑘 is: (a) 16/3 (b) 1/3 (c) 3 (d) 3/16 Given that Fuel cost per hour = k × (Speed of train)2 Also, given that If the fuel costs ₹ 48 per hour at speed 16 km per hour Thus, Fuel cost per hour = k × (Speed of train)2 48 = k × 162 48 = k × 256 𝟒𝟖/𝟐𝟓𝟔 = k 3/16 = k k = 𝟑/𝟏𝟔 So, the correct answer is (d)
  1. Class 12
  2. Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

    3. CBSE Class 12 Sample Paper for 2022 Boards (MCQ Based - for Term 1)

    CBSE Class 12 Sample Paper for 2021 Boards →
CBSE Class 12 Sample Paper for 2021 Boards →
Class 12
Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

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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