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At maximum speed, an airplane can travel 2460 miles against the wind in six hour. Flying with the wind, the plane can travel the same distance in 5 hours. let x be the maximum speed of the plane and y be the speed of the wind. what is the speed of the plane with no wind?​

Respuesta :

Answer:

[tex]451 \frac{mile}{hour}[/tex]

Step-by-step explanation:

Distance travelling in each trip is 2460 miles.

[tex]distance =velocity *time[/tex]

Let velocity of plane with no wind be v.

  • In wind direction

          velocity = v +y

           [tex]2460 =(v+y) * 5[/tex]  ...............1

  • Opposite of wind direction

         velocity = v-y

           [tex]2460 =(v-y) * 6[/tex]  ..................2

  By dividing equation 1 and 2

     v =11*y

  [tex]y=\frac{v}{11}[/tex]

Substitute in equation 1

[tex]2460 =5(v + \frac{v}{11} )[/tex]

[tex]v = 451[/tex]

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