Flying with a tailwind a plane averaged 158 km/h. on the return trip the plane averaged 112 km/h with same wind. find wind & plane speed in still air.

The key idea here is that

speed of plane in wind = (speed of plane in air) + (speed of wind)

Let be the speed of the plane in still air, and the wind speed. A tailwind blows in the same direction as the plane, so for the first leg of the trip, we have

For the return trip, the wind would blow in the opposite direction:

Solve this system and you'll find and .

x² + 11x + 18 < 0  

[-11 ± sqrt(121 - 72)]/2 = (-11 ± 7)/2  

solution: (-9, -2)

step-by-step explanation:

answer: $1794

step-by-step explanation: