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Air Plane In Flight - Head Wind Tail Wind

An airplane can fly at a speed of 200 miles/hr in still air. It can fly a distance of 800 miles with tail wind (wind is in same direction as direction of flight). It can fly 640 miles with head wind (wind is against direction of flight). What is the speed of the wind?

**The string**:

(a) S_{7}P_{5}A_{51} (Physical Change - Speed).
**The math**:

Pj Problem of Interest (PPI) is of type *change*. Problems of speed, velocity, acceleration and duration are associated with motion, they are generally Pj Problems of the type *change* because the *PPI* addresses rate of change.

Figure 4.1 illustrates the directions of the head wind and tail wind. Sometimes the vertical component of the wind is not zero. Such a wind is called a cross wind and it has both a vertical and horizontal components.

Let speed of the wind be *w*:

Then, speed of airplane with tail wind = 200 + w

Speed of airplane with head wind = 200 - w

So, (200 + w)t = 800 ----(1)
(*t* is time in hrs).

Also, (200 - w)t = 640 ----(2)

Solving equations (1) and (2) simultaneously gives:

400t = 1440

So, t = 18/5 hrs

Substituting *t* in equation (1) or equation (2), gives:

The speed of the wind, w = 22 miles/hr.

Math

The *point* **.** is a mathematical abstraction. It has negligible size and a great sense of position. Consequently, it is front and center in abstract existential reasoning.

Derivation Of The Area Of A Circle, A Sector Of A Circle And A Circular Ring

Derivation Of The Area Of A Trapezoid, A Rectangle And A Triangle

Derivation Of The Area Of An Ellipse

Derivation Of Volume Of A Cylinder

Derivation Of Volume Of A Sphere

Derivation Of Volume Of A Cone

Derivation Of Volume Of A Torus

Derivation Of Volume Of A Paraboloid

Volume Obtained By Revolving The Curve y = x^{2} About The X Axis

Single Variable Functions

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Equation Of The Ascent Path Of An Airplane

Calculating Capacity Of A Video Adapter Board Memory

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Boolean Algebra - Logic Functions

Ordinary Differential Equations (ODEs)

Infinite Sequences And Series

Introduction To Group Theory

Advanced Calculus - Partial Derivatives

Advanced Calculus - General Charateristics Of Partial Differential Equations

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Production Schedule That Maximizes Profit Given Constraint Equation

Separation Of Variables As Solution Method For Homogeneous Heat Flow Equation

Newton And Fourier Cooling Laws Applied To Heat Flow Boundary Conditions

Fourier Series

Derivation Of Heat Equation For A One-Dimensional Heat Flow

Homogenizing-Non-Homogeneous-Time-Varying-IBVP-Boundary-Condition

The Universe is composed of *matter* and *radiant energy*. *Matter* is any kind of *mass-energy* that moves with velocities less than the velocity of light. *Radiant energy* is any kind of *mass-energy* that moves with the velocity of light.

Periodic Table

Composition And Structure Of Matter

How Matter Gets Composed

How Matter Gets Composed (2)

Molecular Structure Of Matter

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Molecular Orbital Theory

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