SOLUTION: Plane can travel 3 200 kilometers (km) from city M to city N in 4 h with the wind. The return trip against the wind takes 1 1/3 h longer. What is the speed of the wind

Question 1161950: Plane can travel 3 200 kilometers (km) from city M to city N in 4 h with the wind. The return trip against the wind takes 1 1/3 h longer. What is the speed of the wind
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

Speed with the wind (plane speed plus wind speed): 3200/4 = 800km/h

Speed against the wind (plane speed minus wind speed): 3200/(5 1/3) = 600km/h

You could use formal algebra to solve for the speed of the plane and the speed of the wind. I'll leave that to you, if that's the way you want to go (or have to go).

Logical reasoning tells us that if the speed with the wind is 800km/h and the speed against the wind is 600km/h then the speed of the plane is 700km/h and the speed of the wind is 100km/h.

ANSWER: 100 km/h

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