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Math Help - Help with a distance problem

  1. #1
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    Help with a distance problem

    Dahlai walks from home to school at 2km/h. After school she jogs back home at 6km/h and saves 15 mins. How far away is her house from school? I don't even know how to approach this, all help is appreciated.
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  2. #2
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    Re: Help with a distance problem

    Remember that distance equals rate*time. She is traveling the same distance going to school as coming home.

    2x=6(x-\frac{1}{4})

    Can you take it from there?
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  3. #3
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    Re: Help with a distance problem

    Hello, xXplosionZz!

    Recall the formula: . d \:=\:rt \quad\Rightarrow\quad t \:=\:\tfrac{d}{r}


    Dahlai walks from home to school at 2km/hr.
    After school she jogs back home at 6km/hr and saves 15 mins.
    How far away is her house from school?

    She walks x km at 2 km/hr.
    . . This takes \frac{x}{2} hours.

    She jogs x km at 6 km/hr.
    . . This takes \frac{x}{6} hours.

    Her jogging time is \tfrac{1}{4} hour less than her walking time.
    . . The equation is: . \frac{x}{6} \:=\:\frac{x}{2} - \frac{1}{4}

    Got it?
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  4. #4
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    Re: Help with a distance problem

    Sorta got it, thanks. Do you have any other questions like this to practise?
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