# Math

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A small plane flying into the wind takes 3h 20 min to complete a flight of 960 km.Flying with the wind, the same plane takes 2h 30 min to make the trip. What is the speed of the plane? What is the speed of the wind?

can you plz help
thx I really am thankful to have found a forum that really cares. Thanks

• Math -

Let the speed of the plane with no wind be x km/h
let the speed of the wind be y km/h

then into the wind, the actual speed of the plane is x-y km/h
and 960/(x-y) = 10/3 which reduces to
x - y = 286 (31)

with the wind:
960/(x+y) = 5/2 which reduces to
x + y = 384 (#2)

add #1 and #2 to get 2x = 672
x = 336, subbing back I got y = 48

so the speed of the plane is 336 km/h
and the speed of the wind is 48 km/h

check: (10/3)(336-48) = 960
(5/2)(336+48) = 960

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