A man flies a small airplane from Fargo to Bismarck, North Dakota- a distance of

Question

A man flies a small airplane from Fargo to Bismarck, North Dakota- a distance of 180 miles. Because he is flying into a head wind, the trip takes him 2 hours. On the way back, the wind is still blowing at the same speed, so the return trip takes only 1.2 hours. What is the planes speed in still air, and how fast is the wind blowing? 1) His plane speed equals ______ mph 2) The wind speed equals ______ mph A man flies a small airplane from Fargo to Bismarck, North Dakota- a distance of 180 miles. Because he is flying into a head wind, the trip takes him 2 hours. On the way back, the wind is still blowing at the same speed, so the return trip takes only 1.2 hours. What is the planes speed in still air, and how fast is the wind blowing? 1) His plane speed equals ______ mph 2) The wind speed equals ______ mph 1) His plane speed equals ______ mph 2) The wind speed equals ______ mph

Explanation / Answer

Speed of plane = Vp

Speed of wind = Vd

we know that

Speed = distance/time

when plane flies into a head wind

Vp - Vd = 180/2

when plane flies with the wind

Vp + Vd = 180/1.2

Solving both equations:

Vp - Vd = 90

Vp + Vd = 150

add both equations

2*Vp = 240

Vp = 120 mph

Now

Vp - Vd = 90

Vd = 120 - 90

Vd = 30 mph

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