# Flying high

**Classical Mechanics**Level 4

Consider a plane that is in a steady flight at which the engine must provide an equal and opposite force to the resistance force. The speed at which the airplane flies the **longest distance** given a specific amount of fuel can be expressed as
\[v = \left(K \times \frac{b}{a}\right)^\frac{1}{M} \] where \(K\) and \(M\) are positive integers. What is the value of \(K + M \) ?