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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 -

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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 fuel cost for the train to travel 500 km at the most economical speed is:

Options

  • ₹ 3750

  • ₹ 750

  • ₹ 7500

  • ₹ 75000

MCQ

Solution

₹ 7500

Explanation:

Fuel cost for running 500 km = `375/4 "v" = 375/4 xx 80` = ₹ 7500

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