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.

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

Options

• ₹ 3750

• ₹ 75000

• ₹ 7500

• ₹ 15000

Answer 1

₹ 15000

Explanation:

Total cost for running 500 km = `375/4 "v" + 600000/"v"`

= `(375 xx 80)/4 + 600000/80`

= ₹ 15000