m07 #24 : Retired Discussions [Locked]
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# m07 #24

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Director
Joined: 03 Sep 2006
Posts: 879
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02 May 2010, 22:45
A plane can fly from Europe to North America in 12.4 hours, but the return trip only takes 10.26 hours. If the average ground speed of a plane is 700 km/h, what is the approximate distance between Europe and North America?

Is there no faster and shorter approach for this question?

$$V_P = \frac{700 km}{hr}$$.............Absolute Speed of Plane
$$V_W = \frac{X km}{hr}$$...............Absolute Speed of Wind

Distance = D
Therefore:
$$D = (V_P - V_W)*12.4(hr)$$
$$D = (V_P + V_W)*10.26(hr)$$

$$X = \frac{66.1 km}{hr}$$

Thus D = 7860.36 Km
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Joined: 31 Mar 2010
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19 May 2010, 06:26
You can simply imagine this round trip as a single, one way, trip of two equal segments of $$X$$

$$V = \frac{2X}{t1+t2}$$
$$700= \frac{2X}{12,4+10,26}$$

So $$X$$ is around 7700km.
Re: m07 #24   [#permalink] 19 May 2010, 06:26
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# m07 #24

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