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A plane flying against the wind covers a 900 kilometer route

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Joined: 12 Feb 2006
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A plane flying against the wind covers a 900 kilometer route [#permalink] New post 28 Feb 2007, 02:00
A plane flying against the wind covers a 900 kilometer route in 2 hours. The same plane flying with the wind covers the same 900 kilometer route in 1.8 hours. If the speed of the wind is constant what is the speed of the wind?

18 KMH
20 KMH
22 KMH
25 KMH
27 KMH
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 [#permalink] New post 28 Feb 2007, 02:40
(D) for me :)

Let set those variables:
o V : the speed of the aircraft in KM/H when there is no wind
o v : the speed of the wind.

Then, we have those equations from the 2 trips
o 900/2 = V-v (1)
o 900/1,8 = V+v (2)

Finally,
(2)-(1) <=> 900*(1/1,8 - 1/2) = 2*v
<=> v = 900 / 2 * (10/18 - 9/18) = 900/2 * 1/18 = 100/4 = 25
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Re: Help with a Rate Question [#permalink] New post 28 Feb 2007, 02:43
bz9 wrote:
A plane flying against the wind covers a 900 kilometer route in 2 hours. The same plane flying with the wind covers the same 900 kilometer route in 1.8 hours. If the speed of the wind is constant what is the speed of the wind?

18 KMH
20 KMH
22 KMH
25 KMH
27 KMH


Airplane Speed=A
Wind Speed=W

A-W=900/2=450 Km/h
A+W=900/1.8=500Km/h

Solving for W=25Km/h (D)
Re: Help with a Rate Question   [#permalink] 28 Feb 2007, 02:43
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A plane flying against the wind covers a 900 kilometer route

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