A certain truck uses $\dfrac{1}{12}+kv^2$ gallons of fuel per mile when its speed is $v$ miles per hour, where $k$

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A certain truck uses $\dfrac{1}{12}+kv^2$ gallons of fuel per mile when its speed is $v$ miles per hour, where $k$ is a constant. At what speed should the truck travel so that it uses $\dfrac{5}{12}$ gallon of fuel per mile?

1) The value of $k$ is $\dfrac{1}{10800}$

2) When the truck travels at $30$ miles per hour, it uses $\dfrac{1}{6}$ gallon of fuel per mile

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