Question

Rate of fuel consumption fcf_c (litres per hour) of a truck varies with truck speed xx, (kmph) as given below

fc=20+x250f_c = 20 + \frac{x^2}{50}

The fuel price is Rs. 70 per litre. Other costs amount to Rs. 500 per hour. If the truck travels 100 km from a coal mine to a thermal plant, the speed of the truck, in kmph, that minimizes the total cost is _____.

NAT

Min: 35 Max: 38

Answer: 36.5

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