SOLUTION: Flying to Berlin with a tailwind, a plane averages 174 km/h. On the return trip, the plane averages 132 km/h while flying back into the same wind. find the speed of the wind and
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Question 1067837: Flying to Berlin with a tailwind, a plane averages 174 km/h. On the return trip, the plane averages 132 km/h while flying back into the same wind. find the speed of the wind and the speed of the plane in still air. Answer by ikleyn(52776) (Show Source):
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Flying to Berlin with a tailwind, a plane averages 174 km/h. On the return trip, the plane averages 132 km/h while flying back
into the same wind. find the speed of the wind and the speed of the plane in still air.
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Let u be the plane speed at no wind (in km/h).
Let v be the wind speed.
Then the speed of the plane with the wind is u+v km/h.
The speed against the wind is u-v km/h.
The condition says
u + v = 174,
u - v = 132.
----------------- Add the two equations.
2u = 174 + 132 = 306 ---> u = = 153 km/h speed of the plane at no wind.
Now, from (1) v = 174-153 = 21 km/h is speed of wind.
Solved.
It is a typical "tailwind and headwind" word problem.
In these lessons you will find the detailed solutions of many similar problems.
Read them attentively.
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