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Harman [31]
3 years ago
8

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.
Mathematics
1 answer:
Roman55 [17]3 years ago
7 0

The key idea here is that

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

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

158\,\dfrac{\rm km}{\rm h}=s+w

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

112\,\dfrac{\rm km}{\rm h}=s-w

Solve this system and you'll find s=135\,\dfrac{\rm km}{\rm h} and w=23\,\dfrac{\rm km}{\rm h}.

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