Question

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?​

Answer 1

`451 (mile)/(hour)`

Explanation:

Distance travelling in each trip is 2460 miles.

`distance =velocity *time`

Let velocity of plane with no wind be v.

• In wind direction

velocity = v +y

`2460 =(v+y) * 5` ...............1

• Opposite of wind direction

velocity = v-y

`2460 =(v-y) * 6` ..................2

By dividing equation 1 and 2

v =11*y

`y=(v)/(11)`

Substitute in equation 1

`2460 =5(v + (v)/(11) )`

`v = 451`