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Call the airspeed of the airplane 'A', and the wind-speed 'W'.

A - W = 500

A + W = 600

Add the two equations . . . . . 2A = 1,100

Divide each side by 2 . . . . . . A = 550

Substitute that result

into the first equation . . . . . 550 - W = 500

Add 'W' to each side . . . . . . 550 = 500 + W

Subtract 500 from each side . . 50 = W

The aircraft is capable of 550 km/hr airspeed.

The wind's speed is 50 km/hr.

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Q: When a plane flies into the wind it can travel 3000 km in 6 hours when it flies with the wind it can travel the same distance in 5 hours find the rate of the plane in still air and wind?
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