JEE Main 2013 Mathematics question

MathematicsApplication of DerivativesJEE Main 2013

The cost of running a bus from A to B is Rs. (av + b/v) where v km/h is the average speed of the bus. When the bus travels at 30 km/h, the cost comes out to be Rs. 75 while at 40 km/h, it is Rs. 65. Then the most economical speed (in km/h) of the bus is :

Answer: (3)

Solution

and give and , so , b =

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Question ID VK-104157