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dangina [55]
4 years ago
13

write a system of equations for the problem, and then solve the system. if a plane can travel 340 miles per hour with the wind o

nly 260 miles per hour against the wind, find the speed of the wind and the speed of the plane in still air. please show step by step
Mathematics
2 answers:
masha68 [24]4 years ago
8 0
Seems fishy what do you think
Dennis_Churaev [7]4 years ago
3 0

Answer:

The speed of plane = 40 m/s

The speed of the wind = 300 m/s

Step-by-step explanation:

Let the speed of the plane = Y

And the speed of the wind = X

If the plane then travel 340 miles per hour with the wind, that means the plane and the wind are moving in the same direction. Therefore,

X + Y = 340 ..... ( 1 )

Also, 260 miles per hour against the wind. That is, the plane is moving opposite to the direction of the wind. Therefore,

X - Y = 260 ..... ( 2 )

Solve the two equations simultaneously by addition. That will eliminate Y

X + Y = 340

X - Y = 260

2X = 600

X = 600/2

X = 300 m/s

Substitutes X in equation (1)

300 + Y = 340

Make Y the subject of formula by collecting the like terms

Y = 340 - 300

Y = 40 m/s

Therefore, the speed of the plane is 40 m/s. While the speed of the wind is 300 m/s.

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