Home
Class 12
MATHS
The fuel cost per hour for running a tra...

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.
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)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 2022

    CBSE MODEL PAPER|Exercise SECTION – B |20 Videos

  • SAMPLE QUESTION PAPER ( MATHEMATICS )

    CBSE MODEL PAPER|Exercise QUESTION|60 Videos

  • SAMPLE PAPER 2022 TERM II

    CBSE MODEL PAPER|Exercise SECTION C|5 Videos

Similar Questions

Explore conceptually related problems

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. The total cost of the train to travel 500km at the most economical speed is:

The fuel cost per hour for running a train is proportional to the square of the speed generated in km/h. if the fuel cost is Rs.48/h at 16 km/h . It the fixed charges amount to Rs.1200/h The most economical speed to run the train is:

The fuel cost per hour for running a train are proportional to the square of the speed generated in km/h. if the fuel cost is Rs . 48 at 16 km/h . It the fixed charges amount to Rs. 1200/h. The fuel cost for the train to travel 500km at the most economical speed is:

The fuel charges for running a train are proportional to the square of the speed generated in km per hour and cost Rs 100 per hour at 20km/hr. If the fixed charge amount to Rs. 10,000 per hour, the most economical speed in km per hour is equal to K, then k/50=

The fuel cost per hour for running a train are proportional to the square of the speed generated in km/h. if the fuel cost is Rs . 48 at 16 km/h . It the fixed charges amount to Rs. 1200/h. If the train has travelled a distance of 500km, then the total cost of running the train is given by function:

A speed of 45 km per hour is the same as

The fuel charges for running a train are proportional to the square of the speed generated in km/h, and the cost is Rs. 48 at 16 km/h. If the fixed charges amount to Rs. 300/h, the most economical speed is (a) 60 km/h (b) 40 km/h 48 km/h (d) 36 km/h