Speed, Distance and Time [closed]












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Josh cycles 2 km at y km/h and then runs 4 km at (y-4) km/h. The whole journey takes 40 min.
Write an equation in y and show that it simplifies to $y^2$ – 13y + 12 = 0










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closed as off-topic by Saad, Toby Mak, verret, Alexander Gruber Jan 8 at 22:08


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Saad, Toby Mak, verret, Alexander Gruber

If this question can be reworded to fit the rules in the help center, please edit the question.












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    $begingroup$
    so what have you tried? where are you stuck?
    $endgroup$
    – Siong Thye Goh
    Jan 8 at 12:19
















-1












$begingroup$


Josh cycles 2 km at y km/h and then runs 4 km at (y-4) km/h. The whole journey takes 40 min.
Write an equation in y and show that it simplifies to $y^2$ – 13y + 12 = 0










share|cite|improve this question









$endgroup$



closed as off-topic by Saad, Toby Mak, verret, Alexander Gruber Jan 8 at 22:08


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Saad, Toby Mak, verret, Alexander Gruber

If this question can be reworded to fit the rules in the help center, please edit the question.












  • 2




    $begingroup$
    so what have you tried? where are you stuck?
    $endgroup$
    – Siong Thye Goh
    Jan 8 at 12:19














-1












-1








-1





$begingroup$


Josh cycles 2 km at y km/h and then runs 4 km at (y-4) km/h. The whole journey takes 40 min.
Write an equation in y and show that it simplifies to $y^2$ – 13y + 12 = 0










share|cite|improve this question









$endgroup$




Josh cycles 2 km at y km/h and then runs 4 km at (y-4) km/h. The whole journey takes 40 min.
Write an equation in y and show that it simplifies to $y^2$ – 13y + 12 = 0







problem-solving






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asked Jan 8 at 12:17









Good aeksiGood aeksi

11




11




closed as off-topic by Saad, Toby Mak, verret, Alexander Gruber Jan 8 at 22:08


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Saad, Toby Mak, verret, Alexander Gruber

If this question can be reworded to fit the rules in the help center, please edit the question.







closed as off-topic by Saad, Toby Mak, verret, Alexander Gruber Jan 8 at 22:08


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Saad, Toby Mak, verret, Alexander Gruber

If this question can be reworded to fit the rules in the help center, please edit the question.








  • 2




    $begingroup$
    so what have you tried? where are you stuck?
    $endgroup$
    – Siong Thye Goh
    Jan 8 at 12:19














  • 2




    $begingroup$
    so what have you tried? where are you stuck?
    $endgroup$
    – Siong Thye Goh
    Jan 8 at 12:19








2




2




$begingroup$
so what have you tried? where are you stuck?
$endgroup$
– Siong Thye Goh
Jan 8 at 12:19




$begingroup$
so what have you tried? where are you stuck?
$endgroup$
– Siong Thye Goh
Jan 8 at 12:19










1 Answer
1






active

oldest

votes


















1












$begingroup$

Some hints:




  • The velocities are given in $frac{km}{h}$. So, you may convert the total time to hours: $T = 40,min = frac{2}{3}h$.

  • Split the overall time $T = t_1 + t_2$ into two parts and use $t = frac{mbox{distance}}{mbox{velocity}}$.

  • For example, for the second part of the journey you get $t_2 = frac{4}{y-4}$.


Can you take it from here?






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$endgroup$




















    1 Answer
    1






    active

    oldest

    votes








    1 Answer
    1






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes









    1












    $begingroup$

    Some hints:




    • The velocities are given in $frac{km}{h}$. So, you may convert the total time to hours: $T = 40,min = frac{2}{3}h$.

    • Split the overall time $T = t_1 + t_2$ into two parts and use $t = frac{mbox{distance}}{mbox{velocity}}$.

    • For example, for the second part of the journey you get $t_2 = frac{4}{y-4}$.


    Can you take it from here?






    share|cite|improve this answer









    $endgroup$


















      1












      $begingroup$

      Some hints:




      • The velocities are given in $frac{km}{h}$. So, you may convert the total time to hours: $T = 40,min = frac{2}{3}h$.

      • Split the overall time $T = t_1 + t_2$ into two parts and use $t = frac{mbox{distance}}{mbox{velocity}}$.

      • For example, for the second part of the journey you get $t_2 = frac{4}{y-4}$.


      Can you take it from here?






      share|cite|improve this answer









      $endgroup$
















        1












        1








        1





        $begingroup$

        Some hints:




        • The velocities are given in $frac{km}{h}$. So, you may convert the total time to hours: $T = 40,min = frac{2}{3}h$.

        • Split the overall time $T = t_1 + t_2$ into two parts and use $t = frac{mbox{distance}}{mbox{velocity}}$.

        • For example, for the second part of the journey you get $t_2 = frac{4}{y-4}$.


        Can you take it from here?






        share|cite|improve this answer









        $endgroup$



        Some hints:




        • The velocities are given in $frac{km}{h}$. So, you may convert the total time to hours: $T = 40,min = frac{2}{3}h$.

        • Split the overall time $T = t_1 + t_2$ into two parts and use $t = frac{mbox{distance}}{mbox{velocity}}$.

        • For example, for the second part of the journey you get $t_2 = frac{4}{y-4}$.


        Can you take it from here?







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered Jan 8 at 12:44









        trancelocationtrancelocation

        14.1k1829




        14.1k1829















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