Aplane flies at 450 mph and travels 860 miles with the wind in the same amount of times it travels 740 miles against the wind. solve the equation to find the speed, s, of the wind.

The velocity: v = d / t, where d is the distance an t is the amount of time.
Equations are:
450 + s = 860 / t ( with the wind )
450 - s = 740 / t ( against the wind )
s - the speed of the wind
From the 1st equation: s = 860 / t - 450. We can charge it in the 2nd equation:
450 - ( 860 / t - 450 ) = 740 / t
450 - 860 / t + 450 = 740 / t
900 = 860 / t + 740 / t
900 = 1600 / t
t = 1600 : 900
t = 1.77 hours
450 + s = 860 / 1.77
450 + s = 483.75
s = 483.75 - 450
s = 33.75 mph
The speed of the wind is 33.75 mph.

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