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

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 Sept. 4, 2021 by

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 βΉ 48 per hour at speed 16 km per hour and the fixed charges to run the train amount to βΉ 1200 per hour. Assume the speed of the train as π£ km/h.

Question 46 β 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 βΉ 48 per hour at speed 16 km per hour and the fixed charges to run the train amount to βΉ 1200 per hour. Assume the speed of the train as π£ km/h.
Question 46 Given that the fuel cost per hour is π times the square of the speed the train generates in km/h, the value of π is: (a) 16/3 (b) 1/3 (c) 3 (d) 3/16
Given that
Fuel cost per hour = k Γ (Speed of train)2
Also, given that
If the fuel costs βΉ 48 per hour at speed 16 km per hour
Thus,
Fuel cost per hour = k Γ (Speed of train)2
48 = k Γ 162
48 = k Γ 256
ππ/πππ = k
3/16 = k
k = π/ππ
So, the correct answer is (d)

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.