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Math Help - Solving Word Problems With Equations

  1. #1
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    Solving Word Problems With Equations

    Another word problem.

    David flew 300km on a commuter plane, then 2000km on a passenger jet. The passenger jet flew twice as fast as the commuter plane. The total flying time for the journey was 3.25 hours. What was the speed of each plane, in kilometers per hour?

    Please help. I've been trying to tackle this problem for an hour+ and had no luck solving it.
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  2. #2
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    Quote Originally Posted by larry21 View Post
    Another word problem.

    David flew 300km on a commuter plane, then 2000km on a passenger jet. The passenger jet flew twice as fast as the commuter plane. The total flying time for the journey was 3.25 hours. What was the speed of each plane, in kilometers per hour?

    Please help. I've been trying to tackle this problem for an hour+ and had no luck solving it.
    Remember d=rt \iff t=\frac{d}{r}

    Let r be the speed of the commuter plane then 2r is the speed of the jet then

    \frac{300}{r}+\frac{2000}{2r}=3.25
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