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Question
An airplane flies along the four sides of a square at the speeds of 200, 400, 600 and 800 km/hr. Find the average speed of the plane around the field.
432 km/hr
375 km/hr
384 km/hr
221 km/hr
ANSWER : 3
Descrption
<pre> Average Speed = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mi>t</mi><mi>o</mi><mi>t</mi><mi>a</mi><mi>l</mi><mo> </mo><mi>d</mi><mi>i</mi><mi>s</mi><mi>tan</mi><mi>c</mi><mi>e</mi><mo> </mo></mrow><mrow><mi>t</mi><mi>o</mi><mi>t</mi><mi>a</mi><mi>l</mi><mo> </mo><mi>t</mi><mi>i</mi><mi>m</mi><mi>e</mi></mrow></mfrac><mspace linebreak = "newline"/><mn>4</mn><mo> </mo><mi>s</mi><mi>i</mi><mi>d</mi><mi>e</mi><mi>s</mi><mo> </mo><mo>,</mo><mo> </mo><mi>S</mi><mi>o</mi><mo> </mo><mi>t</mi><mi>o</mi><mi>t</mi><mi>a</mi><mi>l</mi><mo> </mo><mi>d</mi><mi>i</mi><mi>s</mi><mi>tan</mi><mi>c</mi><mi>e</mi><mo> </mo><mo> = </mo><mn>4</mn><mi>x</mi><mspace linebreak = "newline"/><mi>s</mi><mi>p</mi><mi>e</mi><mi>e</mi><mi>d</mi><mo> </mo><mn>200</mn><mo> </mo><mi>k</mi><mi>m</mi><mo>/</mo><mi>h</mi><mi>r</mi><mo> </mo><mi>f</mi><mi>o</mi><mi>r</mi><mo> </mo><mo> = </mo><mfrac><mi>x</mi><mn>200</mn></mfrac><mspace linebreak = "newline"/><mo>"</mo><mo> </mo><mn>400</mn><mo> </mo><mo> </mo><mo>"</mo><mo> </mo><mo> </mo><mo> </mo><mo>"</mo><mo> = </mo><mo> </mo><mfrac><mi>x</mi><mn>400</mn></mfrac><mspace linebreak = "newline"/><mo>"</mo><mo> </mo><mo> </mo><mn>600</mn><mo> </mo><mo>"</mo><mo> </mo><mo>"</mo><mo> </mo><mo> </mo><mo> = </mo><mfrac><mi>x</mi><mn>600</mn></mfrac><mspace linebreak = "newline"/><mi>a</mi><mi>n</mi><mi>d</mi><mo> </mo><mo>"</mo><mo> </mo><mo> </mo><mn>800</mn><mo> </mo><mo> </mo><mo>"</mo><mo> </mo><mo>"</mo><mo> </mo><mo> = </mo><mfrac><mi>x</mi><mn>800</mn></mfrac><mspace linebreak = "newline"/><mi>T</mi><mi>o</mi><mi>t</mi><mi>a</mi><mi>l</mi><mo> </mo><mi>t</mi><mi>i</mi><mi>m</mi><mi>e</mi><mo> </mo><mspace linebreak = "newline"/><mo> = </mo><mfrac><mi>x</mi><mn>200</mn></mfrac><mo> + </mo><mfrac><mi>x</mi><mn>400</mn></mfrac><mo> + </mo><mfrac><mi>x</mi><mn>600</mn></mfrac><mo> + </mo><mfrac><mi>x</mi><mn>800</mn></mfrac><mo>"</mo><mspace linebreak = "newline"/><mo> = </mo><mfrac><mrow><mn>12</mn><mi>x</mi><mo> + </mo><mn>6</mn><mi>x</mi><mo> + </mo><mn>4</mn><mi>x</mi><mo> + </mo><mn>3</mn><mi>x</mi></mrow><mn>2400</mn></mfrac><mo> = </mo><mfrac><mrow><mn>25</mn><mi>x</mi></mrow><mn>2400</mn></mfrac><mspace linebreak = "newline"/><mo>.</mo><mo>'</mo><mo>.</mo><mo> </mo><mi>A</mi><mi>v</mi><mi>e</mi><mi>r</mi><mi>a</mi><mi>g</mi><mi>e</mi><mo> </mo><mi>s</mi><mi>p</mi><mi>e</mi><mi>e</mi><mi>d</mi><mo> </mo><mo> = </mo><mfrac><mrow><mn>4</mn><mi>x</mi></mrow><mstyle displaystyle = "true"><mfrac><mrow><mn>25</mn><mi>x</mi></mrow><mn>2400</mn></mfrac></mstyle></mfrac><mspace linebreak = "newline"/><mo> = </mo><mfrac><mrow><mn>4</mn><mi>x</mi><mo>×</mo><mn>2400</mn></mrow><mrow><mn>25</mn><mi>x</mi></mrow></mfrac><mspace linebreak = "newline"/><mo> = </mo><mn>384</mn><mo> </mo><mi>k</mi><mi>m</mi><mo>/</mo><mi>h</mi><mi>r</mi><mo> </mo></math> </pre>
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