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Calculus/Computing Wind Speed

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Expert: Alon Mandes - 4/7/2009


Question
Tail wind, a small piper craft can fly 600 miles in 3 hours. Against same wind, it can fly same distance in 4 hours. Find average wind speed and average airspeed of the craft

Answer
Let's set u=Velocity of the craft & v=Velocity of the wind.
When the craft is flying constant in the direction of the wind,
the total velocity will be u+v.
When the craft is flying against the direction of the wind,
the total velocity will be u-v.
Thus, we get 2 equations with 2 variables :
1. 600/(u+v)=4
2. 600/(u-v)=3

1. (u+v)/600=(1/4)
2. (u-v)/600=(1/3)

1. (u+v)=600/4=150
2. (u-v)=600/3=200

Let's sum eq1 & eq2 , we get :
2u=350 -> u=175. Hence v=25 .

Alon.

Calculus

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Alon Mandes

Expertise

Kind of questions I can answer : Limits, Derivatives, Integration, Implicit functions, continuousity, differentiation ,Extremum problems, Lagrange multipliers, Gradients, Surface integrals, Multi variables functions ,Multi variables Integrals,Complex variables ,Complex functions, Curves, Trajectory integrals & Vector analyse,Divergence,Rotor & word problems. Kind of question I can't answer : Economics,Combinatorics,infinite series & convergence ,Statistics & Probabilities .

Experience

1. I'm a team member of mathnerds (math site for answering questions) 2. I'm a team member in the Student's Union of the Technion, helping students who have problems in mathematics. 3. 2 years of experience as a math teacher in college. 4. I give free homework help for high school students in Mathematics & Physics. 5. I teach part time in collage the subjects : "Digital Signal Processing" , "Random Signals & Noise" , "Complex Functions".

Organizations
Hi-Tech company : GSM4VOIP ; job possition : Algorythm developer.

Education/Credentials
M.A in Mathematics & Bs.c in Electronics.

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