Question

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 a speed of 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:

Options

• `16/3`

• `1/3`

• 3

• `3/16`

Answer 1

`3/16`

Explanation:

Fuel cost per hour = k (speed)²

48 = k. 16²

k = `3/16`