Question 407095
Let {{{R[p]}}} be the speed of the plane and {{{R[w]}}} be the speed of the wind. Then, the speed of the plane with the tail wind is given by


{{{450 = R[p] + R[w]}}}, and the speed of the plane with the head wind is given by


{{{410 = R[p] + R[w]}}}. Adding the two equations, we get


{{{860 = 2R[p]}}} --> {{{R[p] = 430}}} (mi/hr).