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Đỗ Phi Phi

26/07/2017 at 21:56
Answers
3
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I can walk at 4km/h and ride my bike at 20km/h. I take 24 minutes less when I ride my bike to the station than when I walk. How many kilometres do I live from the station?


hourGrade 6grade 5


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  • ...
    Kayasari Ryuunosuke Coordinator 26/07/2017 at 22:28

    ohhh.....! I'm sorry , the last row will be :

    So , there are 120 kilometres do you live from the station . 

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  • ...
    FA KAKALOTS 08/02/2018 at 22:02

    Let {V1=4V2=20

     (km/h)  

    We got this :

    S=V.t

     (with t is the time , S is the length of roads and V is the speed)

    ⇒⎧⎪ ⎪ ⎪⎨⎪ ⎪ ⎪⎩t1=SV1t2=SV2

    From the topic :

    t1=t2+24

      (minute)

    ⇔SV1=SV2+24

    ⇔S4=S20+24

    ⇔S4=S+24.2020

    <=> 20S = 4S + 4.20.24

    <=> 16S = 4.20.24

    <=> S = 120 (km)

    So , there are 20 kilometres do you live from the station .

  • ...
    Kayasari Ryuunosuke Coordinator 26/07/2017 at 22:20

    Let \(\left\{{}\begin{matrix}V_1=4\\V_2=20\end{matrix}\right.\) (km/h)  

    We got this :

    \(S=V.t\) (with t is the time , S is the length of roads and V is the speed)

    \(\Rightarrow\left\{{}\begin{matrix}t_1=\dfrac{S}{V_1}\\t_2=\dfrac{S}{V_2}\end{matrix}\right.\)

    From the topic :

    \(t_1=t_2+24\)  (minute)

    \(\Leftrightarrow\dfrac{S}{V_1}=\dfrac{S}{V_2}+24\)

    \(\Leftrightarrow\dfrac{S}{4}=\dfrac{S}{20}+24\)

    \(\Leftrightarrow\dfrac{S}{4}=\dfrac{S+24.20}{20}\)

    <=> 20S = 4S + 4.20.24

    <=> 16S = 4.20.24

    <=> S = 120 (km)

    So , there are 20 kilometres do you live from the station . 


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