Fortuner, the latest SUV by Toyota Motors, consumes diesel at the rate of $$\frac{1}{400}{(\frac{100}{x}+x})$$ liters per km, when driven at the speed of x km per hour. If the cost of diesel is Rs. 35 per litre and the driver is paid at the rate of R ?->(Show Answer!)

1. Fortuner, the latest SUV by Toyota Motors, consumes diesel at the rate of $$\frac{1}{400}{(\frac{100}{x}+x})$$ liters per km, when driven at the speed of x km per hour. If the cost of diesel is Rs. 35 per litre and the driver is paid at the rate of Rs. 125 per hour then find the approximate optimal speed (in km per hour) of Fortuner that will minimize the total cost of the round trip of 800 kms.

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