Check sibling questions
Class 12
Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

If the train has travelled a distance of 500 km, then the total cost of running the train is given by function:

(a) 15/16 v + 600000/VΒ  Β  Β  Β  (b) 375/4 v + 600000/V

(c) 15/16 v 2 + 150000/VΒ  Β  (d) 3/16 v + 6000/V

Slide123.JPG

Slide124.JPG
Slide125.JPG
Slide126.JPG

This video is only available for Teachoo black users

Introducing your new favourite teacher - Teachoo Black, at only β‚Ή83 per month


Transcript

Question 47 If the train has travelled a distance of 500 km, then the total cost of running the train is given by function: (a) 15/16 𝑣+600000/𝒱 (b) 375/4 𝑣+600000/𝒱 (c) 15/16 𝑣^2+150000/𝒱 (d) 3/16 𝑣+6000/𝒱 Given that If the fuel costs β‚Ή 48 per hour at speed 16 km per hour and the fixed charges to run the train amount to β‚Ή 1200 per hour. Now, Speed of train = 𝒗 km/hr Thus, Time taken to cover 500 km = π·π‘–π‘ π‘‘π‘Žπ‘›π‘π‘’/𝑆𝑝𝑒𝑒𝑑 = πŸ“πŸŽπŸŽ/𝒗 hours Now, Total cost = Fixed Charges + Running Charges Fixed Charges Given that Fixed charges to run the train amount to β‚Ή 1200 per hour. Thus, Fixed Charges for 1 hour = Rs 1200 Fixed Charges for πŸ“πŸŽπŸŽ/𝒗 hours = Rs 1200 Γ— 500/𝑣 = Rs πŸ”πŸŽπŸŽπŸŽπŸŽπŸŽ/𝒗 Running Charges Given that fuel costs β‚Ή 48 per hour at speed 16 km per hour From previous question Fuel cost per hour = k Γ— (Speed of train)2 = πŸ‘/πŸπŸ” 𝒗^𝟐 Now, Fuel cost for for πŸ“πŸŽπŸŽ/𝒗 hours = Rs πŸ‘/πŸπŸ” 𝒗^𝟐 Γ— 500/𝑣 = Rs πŸ‘πŸ•πŸ“/πŸ’ 𝒗 Thus, Total cost = Fixed Charges + Running Charges = Rs πŸ‘πŸ•πŸ“/πŸ’ 𝒗 + πŸ”πŸŽπŸŽπŸŽπŸŽπŸŽ/𝒗 So, the correct answer is (b)

Davneet Singh's photo - Teacher, Engineer, Marketer

Made by

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.