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

Question 47 (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 Sept. 4, 2021 by Teachoo

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

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 ๐ฃ+600000/๐ฑ (b) 375/4 ๐ฃ+600000/๐ฑ (c) 15/16 ๐ฃ^2+150000/๐ฑ (d) 3/16 ๐ฃ+6000/๐ฑ
Given that
If the fuel costs โน 48 per hour at speed 16 km per hour and the fixed charges to run the train amount to โน 1200 per hour.
Now,
Speed of train = ๐ km/hr
Thus,
Time taken to cover 500 km = ๐ท๐๐ ๐ก๐๐๐๐/๐๐๐๐๐
= ๐๐๐/๐ hours
Now,
Total cost = Fixed Charges + Running Charges
Fixed Charges
Given that Fixed charges to run the train amount to โน 1200 per hour.
Thus,
Fixed Charges for 1 hour = Rs 1200
Fixed Charges for ๐๐๐/๐ hours = Rs 1200 ร 500/๐ฃ
= Rs ๐๐๐๐๐๐/๐
Running Charges
Given that fuel costs โน 48 per hour at speed 16 km per hour
From previous question
Fuel cost per hour = k ร (Speed of train)2
= ๐/๐๐ ๐^๐
Now,
Fuel cost for for ๐๐๐/๐ hours = Rs ๐/๐๐ ๐^๐ ร 500/๐ฃ
= Rs ๐๐๐/๐ ๐
Thus,
Total cost = Fixed Charges + Running Charges
= Rs ๐๐๐/๐ ๐ + ๐๐๐๐๐๐/๐
So, the correct answer is (b)

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

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.