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anonymous

  • one year ago

Working at a constant rate, Bob can produce x/3 widgets in 8 minutes. Working at a constant rate, Jack can produce 2x widgets in 40 minutes, where x>0. Which of the following is greater: a. The number of minutes it will take Bob to produce 5x widgets. b. The number of minutes it will take Jack to produce 6x widgets.

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  1. anikhalder
    • one year ago
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    Can you say how many minutes Jack will take to produce x widgets?

  2. anonymous
    • one year ago
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    8?

  3. anikhalder
    • one year ago
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    Time taken by Jack to produce 2x widgets = 40 minutes Hence, time taken by Jack to produce x widgets = ?

  4. anonymous
    • one year ago
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    ?

  5. anonymous
    • one year ago
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    they're equal?

  6. anonymous
    • one year ago
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    2 minutes for both?

  7. anikhalder
    • one year ago
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    If you can make 20 objects in 40 minutes, how long will it take for you to make 1 object?

  8. anonymous
    • one year ago
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    1/2

  9. anonymous
    • one year ago
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    2 inutes

  10. anonymous
    • one year ago
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    minutes

  11. anikhalder
    • one year ago
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    how did you calculate that?

  12. anonymous
    • one year ago
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    20/40 = 2/4 = 1/2 = 1 object every 2 minutes

  13. anikhalder
    • one year ago
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    okay so if Jack makes 2x objects in 40 minutes, how long will it take for him to make 1 object?

  14. anonymous
    • one year ago
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    |dw:1437682608642:dw|

  15. anikhalder
    • one year ago
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    Perfect!

  16. anonymous
    • one year ago
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    |dw:1437682660689:dw|

  17. anikhalder
    • one year ago
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    No. Suppose you make 1 object in 2 minutes. How long will you take to make 5 objects?

  18. anonymous
    • one year ago
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    10 minutes

  19. anikhalder
    • one year ago
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    Yes! So if Jack makes x objects in 20 minutes How long will it take for him to make 5x objects?

  20. anikhalder
    • one year ago
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    Sorry, 6x objects I meant

  21. anonymous
    • one year ago
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    4 minutes?

  22. anikhalder
    • one year ago
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    If he makes x objects in 20 minutes Then how can he possibly make 6 times the number of objects that he took 20 minutes to make, in 4 minutes?

  23. anonymous
    • one year ago
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    oh then is it 100?

  24. anikhalder
    • one year ago
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    for 5x it is 100 for 6x it is 120

  25. anonymous
    • one year ago
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    but what about the x...

  26. anikhalder
    • one year ago
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    Okay treat the question like this: I make 1 object in 24 minutes On the other hand, you take 20 minutes to make the same object. Then tell me now, How long will I take to make 5 such objects? How long will you take to make 6 such objects?

  27. anonymous
    • one year ago
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    |dw:1437683549742:dw|

  28. anonymous
    • one year ago
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    but what about the x?

  29. anikhalder
    • one year ago
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    |dw:1437683586813:dw|

  30. anikhalder
    • one year ago
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    5 x 24 = 120

  31. anonymous
    • one year ago
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    oops

  32. anikhalder
    • one year ago
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    In this case, it's like a variable, for example: Let's take x = 1 , and replace the x with 1 and read the question once again: Working at a constant rate, Bob can produce 1/3 widgets in 8 minutes. Working at a constant rate, Jack can produce 2 widgets in 40 minutes, where 1>0. Which of the following is greater: a. The number of minutes it will take Bob to produce 5 widgets. b. The number of minutes it will take Jack to produce 6 widgets.

  33. anikhalder
    • one year ago
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    Or if you want take x = 2 or x = 3 or 4 or so on, it's an alphabet which you can replace with positive numbers

  34. anonymous
    • one year ago
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    hmmmm ook

  35. anikhalder
    • one year ago
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    |dw:1437684144772:dw|

  36. anonymous
    • one year ago
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    y r they both 120

  37. anikhalder
    • one year ago
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    PLEASE NOTE: Here x is not equal to 24 or 20 It means the time taken by Bob to make x objects is 24 minutes and the time taken by Jack to make x objects is 20 minutes

  38. anonymous
    • one year ago
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    hmmmm ok...

  39. anikhalder
    • one year ago
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  40. anonymous
    • one year ago
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    got it thanks u

  41. anikhalder
    • one year ago
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    Glad to help :))

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