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Math Help - Simple Worded Problem

  1. #1
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    Simple Worded Problem

    It's been far too long since I've picked up my maths books.

    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 240 km/h for the outward trip and 320 km/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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    Re: Simple Worded Problem

    Distance = speed * time

    the distance out = the distance back

    240 T = 320 (35 - T)

    we don't know how long it takes to get out there yet, but we know that if it takes T minutes out there it takes 35-T to get back because 35 is the total time flying.

    we go ahead and expand this out

    240T = 320*35 - 320T

    560T = 320*35

    T = 320*35/560 (you can punch those numbers in)

    from the trip out there

    x = 240 T

    and you just plug the T you got above in there to get

    240 * 320*35/560 km

    you get one free. next time you have to give it a shot first and show your work.
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  3. #3
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    Re: Simple Worded Problem

    I'm sorry, but your answer doesn't match the given answer in my textbook.

    If T = (320*35)/560 = 20

    And if x = 240T, then x = 240*20 = 4800

    The given answer in my textbook is 80 km.
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  4. #4
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    Re: Simple Worded Problem

    T is in minutes. speed is in km/hr.

    Convert T to hours = 1/3 hr

    240 km/hr * 1/3 hr = 80 km.

    Sloppy on my part. Sorry.
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  5. #5
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    Re: Simple Worded Problem

    romsek did not convert from minutes to hours. 35 minutes is equal to \dfrac{35}{60} hours. So, divide your final answer by 60, and you will get 80km, as expected.
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  6. #6
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    Re: Simple Worded Problem

    Thanks for the help.
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