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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 โ‚น 48 per hour at speed 16 km per hour and the fixed charges to run the train amount to โ‚น 1200 per hour. Assume the speed of the train as ๐‘ฃ km/h.

 

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  1. Class 12
  2. Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Transcript

Question 46 โ€“ 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 โ‚น 48 per hour at speed 16 km per hour and the fixed charges to run the train amount to โ‚น 1200 per hour. Assume the speed of the train as ๐‘ฃ km/h. Question 46 Given that the fuel cost per hour is ๐‘˜ times the square of the speed the train generates in km/h, the value of ๐‘˜ is: (a) 16/3 (b) 1/3 (c) 3 (d) 3/16 Given that Fuel cost per hour = k ร— (Speed of train)2 Also, given that If the fuel costs โ‚น 48 per hour at speed 16 km per hour Thus, Fuel cost per hour = k ร— (Speed of train)2 48 = k ร— 162 48 = k ร— 256 ๐Ÿ’๐Ÿ–/๐Ÿ๐Ÿ“๐Ÿ” = k 3/16 = k k = ๐Ÿ‘/๐Ÿ๐Ÿ” So, the correct answer is (d)

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.