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babunello [35]
3 years ago
6

flying against the wind an airplane travels 8460 kilometers in 9 hours. flying with the wind, the same plane travels 9600 kilome

ters in 8 hours. what is the rate of the plane in still air and what is the rate of the wind
Mathematics
1 answer:
BabaBlast [244]3 years ago
3 0

Let <em>a</em> be the speed of the plane and <em>w</em> the wind speed.

<em>a</em> - <em>w</em> = (8460 km)/(9 h) = 940 km/h

<em>a</em> + <em>w</em> = (9600 km)/(8 h) = 1200 km/h

Add these speeds together to eliminate <em>w</em> and solve for <em>a</em> :

2<em>a</em> = 1740 km/h

<em>a</em> = 870 km/h

Subtract the first vector from the second to eliminate <em>a</em> and solve for <em>w</em> :

2<em>w</em> = 260 km/h

<em>w</em> = 130 km/h

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