Results 1 to 10 of 10
Like Tree4Thanks
  • 2 Post By DenisB
  • 1 Post By Cervesa
  • 1 Post By Monoxdifly

Thread: Printers A & B

  1. #1
    Super Member harpazo's Avatar
    Joined
    Sep 2014
    From
    NYC
    Posts
    995
    Thanks
    42

    Printers A & B

    Working together, printer A and printer B would finish a task in 24 minutes. Printer A alone would finish the task in 60 minutes. How many pages does the task contain if printer B prints 5 pages a minute more than printer A?

    This looks like a two equations in two unknowns problem. Right? If so, can you give me one of the equations?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    Apr 2018
    From
    Sukoharjo
    Posts
    80
    Thanks
    19

    Re: Printers A & B

    $\displaystyle \frac{1}{A}+\frac{1}{B}=\frac{1}{24}$
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member harpazo's Avatar
    Joined
    Sep 2014
    From
    NYC
    Posts
    995
    Thanks
    42

    Re: Printers A & B

    Quote Originally Posted by Monoxdifly View Post
    $\displaystyle \frac{1}{A}+\frac{1}{B}=\frac{1}{24}$
    This is not a set of equations in two unknowns.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    Joined
    Feb 2015
    From
    Ottawa Ontario
    Posts
    2,209
    Thanks
    488

    Re: Printers A & B

    Quote Originally Posted by harpazo View Post
    This is not a set of equations in two unknowns.
    YOU posted this: "If so, can you give me one of the equations?".
    Mr.Fly did just that. Now it's up to you to come up with the 2nd equation.
    Thanks from Monoxdifly and topsquark
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Member
    Joined
    Apr 2018
    From
    Sukoharjo
    Posts
    80
    Thanks
    19

    Re: Printers A & B

    Quote Originally Posted by DenisB View Post
    YOU posted this: "If so, can you give me one of the equations?".
    Mr.Fly did just that. Now it's up to you to come up with the 2nd equation.
    Thanks for defending me, Denis McField. He did just ask one of the equations.
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Junior Member Cervesa's Avatar
    Joined
    Dec 2014
    From
    USA
    Posts
    38
    Thanks
    31

    Re: Printers A & B

    Let $p$ be the rate printer A works in pages per minute. Printer B prints at a rate of $p+5$ pages per minute.

    Since printer A takes 60 min to complete the job alone, the number of pages in the task = $p \cdot 60$.

    Working together, $[p + (p+5)] \cdot 24 = p \cdot 60$
    Thanks from harpazo
    Follow Math Help Forum on Facebook and Google+

  7. #7
    Super Member harpazo's Avatar
    Joined
    Sep 2014
    From
    NYC
    Posts
    995
    Thanks
    42

    Re: Printers A & B

    A+B = x/24 pages/min
    A = x/60 pages/min
    B = [x/(60 + 5)] pages/min

    x/24 = x/60 + [x/(60 + 5)]
    x/24 - 2x/60 = 5
    Solving for x, I got 600 pages. Is this right?
    Follow Math Help Forum on Facebook and Google+

  8. #8
    Super Member harpazo's Avatar
    Joined
    Sep 2014
    From
    NYC
    Posts
    995
    Thanks
    42

    Re: Printers A & B

    Quote Originally Posted by Monoxdifly View Post
    $\displaystyle \frac{1}{A}+\frac{1}{B}=\frac{1}{24}$
    Thank you for your effort and help. I found another way to solve the problem. Yes, I did ask for one equation.
    Follow Math Help Forum on Facebook and Google+

  9. #9
    Member
    Joined
    Apr 2018
    From
    Sukoharjo
    Posts
    80
    Thanks
    19

    Re: Printers A & B

    Quote Originally Posted by harpazo View Post
    Thank you for your effort and help. I found another way to solve the problem. Yes, I did ask for one equation.
    It's okay. There's more than one way to solve a math question. That's one of the reasons why I love math.
    Thanks from harpazo
    Follow Math Help Forum on Facebook and Google+

  10. #10
    Super Member harpazo's Avatar
    Joined
    Sep 2014
    From
    NYC
    Posts
    995
    Thanks
    42

    Re: Printers A & B

    Quote Originally Posted by Monoxdifly View Post
    It's okay. There's more than one way to solve a math question. That's one of the reasons why I love math.
    It took me about 40 minutes to solve it this way.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Two Printers
    Posted in the Algebra Forum
    Replies: 7
    Last Post: Nov 13th 2018, 08:20 PM

/mathhelpforum @mathhelpforum