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Math Help - Linear Equation Help

  1. #1
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    Linear Equation Help

    An aircraft, used for fire spotting, flies from its base to locate a fire at an unknown distance, x km away. It travels straight to the fire and back, averaging 240km/h for the outward trip and 320km/h for the return trip. If the plane was away for 35 minutes, find the distance, x km.
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  2. #2
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    Dec 2008
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    Auckland, New Zealand
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    We know that velocity = distance / time.

    So time = distance / velocity.

    So \frac{x}{240} + \frac{x}{320} = 35mins = \frac{35}{60} <br />
hrs

    \Rightarrow \frac{4x}{960} + \frac{3x}{960} = \frac{35}{60}

    \Rightarrow 7x = \frac{35}{60} \times 960

    \Rightarrow 7x = 560

    \Rightarrow x = 80\, km
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