1. Land Cruiser Prado, the latest SUV from Toyota Motors, consumes diesel at the rate of $$\frac{1}{400}\left\{ \frac{1000}{x} + x\right\}$$litres per Km. when travelling at the speed of x km/hr. The diesel costs Rs. 65 per litre and the driver is paid Rs. 50 per hour. Find the steady speed that will minimize the total cost of a 1000 km trip?
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