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Sagot :
1) Gathering the data
Against the wind:
1104 km in 2 hours
With the wind:
1344 km in 2 hours
2) Let's set then, two equations to find the rate of the plane. Considering the speed of the plane and the wind are pulling the plane
With the wind:
2( plane + wind) = 1344 ⇒ 2(p+w) = 1344 ⇒ 2p+2w = 1344
Against the wind:
2( plane - wind) =1104 ⇒ 2(p-w) =1104 ⇒ 2p -2w=1104
So we can write this linear system of equations, and then add both equations simultaneously:
2p+2w = 1344
2p -2w=1104
----------------------
4p =2408 Divide both sides by 4
p=602
Plugging into one equation the value of p, to find w:
2p -2w =1104
2(602) -2w = 1104
1204-2w=1104
-2w=1104-1204
-2w=-100
2w=100
w=50
3) As it is a rate, then we can write Speed of the plane = 602 km/h and Speed of the wind = 50km/h
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