The rate of the plane in still air is 791km/h and the rate of the wind is 65km/h
Using the formula
Rate = distance/ time
Distance against the wind = 2904 kilometers
Distance with the wind = 3424 kilometers
Time = 4 hours
Let the rate of the plane in still air be 'p' and that of the wind be 'w'
rate of plane + wind = 3424 /4 = 856 km/h
Plane + wind = 856 km/h
p + w = 856 km/h
rate of plane against wind , p - w = 2904 /4 = 726
p - w = 726 km/h
Make the rate of the plane subject of formula
p = 726 + w
Equate all to the total rate
726 + w + w = 856
Collect like terms
2w = 856 - 726
w = 130 ÷ 2km/h
The rate of the wind = 65km/h
Substitute the value of 'w' in the equation p = 726 + w
p = 726 + 65
p = 791 km/h
Therefore, the rate of the plane in still air is 791km/h and the rate of the wind is 65km/h
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