Problema Solution

Flying to Kampala with a tailwind a plane averaged 158 km/h. On the return trip the plane only averaged 112/km/h while flying back into the same wind. Find the speed of the wind and the speed of the plane is still air.

Answer provided by our tutors

let


w = the speed of the wind

v = the speed of the plane is still air


the speed of the plane flying with tailwind is 158 km/h


v + w = 158


the speed of the plane flying with headwind is 112 km/h


v - w = 112


by solving the system of equations


v + w = 158

v - w = 112


we find


w = 23 km/h


v = 135 km/h


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the speed of the wind is 23 km/h.

the speed of the plane is still air is 135 km/h.