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anonymous

  • one year ago

Working together, 7 identical pumps can empty a pool in 6 hours. How many hours will it take 4 pumps to empty the same pool?

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  1. anonymous
    • one year ago
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    @satellite73 can we take this one slow too?

  2. anonymous
    • one year ago
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    sure unit rate again

  3. anonymous
    • one year ago
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    So 7/6 will be how much 1 pump can empty a pool

  4. anonymous
    • one year ago
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    careful

  5. anonymous
    • one year ago
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    lets start with how much 7 pumps do per hour

  6. anonymous
    • one year ago
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    isn't that what 7/6 finds?

  7. anonymous
    • one year ago
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    7 pumps take 6 hours, so 7 pumps do \(\frac{1}{6}\) per hour

  8. anonymous
    • one year ago
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    oh okay

  9. anonymous
    • one year ago
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    how much does one pump do? don't multiply by 7, divide (like last time)

  10. anonymous
    • one year ago
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    1/42

  11. anonymous
    • one year ago
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    ok good now each pump does \(\frac{1}{42}\) per hour, how much does 4 pumps do (this time multiply)

  12. anonymous
    • one year ago
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    4/42

  13. anonymous
    • one year ago
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    right

  14. anonymous
    • one year ago
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    or you can reduce to get \(\frac{2}{21}\)

  15. anonymous
    • one year ago
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    hmmmm did we do something wrong? my answer say 42/4 = 10 1/2

  16. anonymous
    • one year ago
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    you want to see how long it takes to do one job,

  17. anonymous
    • one year ago
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    solve \[\frac{2}{21}T=1\] making \[T=\frac{21}{2}\]

  18. anonymous
    • one year ago
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    no we didn't do anything wrong, we just were not done yet we got the unit rate at \(\frac{2}{21}\) but we need the total time

  19. anonymous
    • one year ago
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    ohhh okay

  20. anonymous
    • one year ago
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    they do 2/21 of a job per hour, takes 21/2 hours to do one job

  21. anonymous
    • one year ago
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    ohhh okay

  22. anonymous
    • one year ago
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    there may have been a quicker way to do this, but it is good to know how to get the unit rate so you can do all kinds of problems with it

  23. anonymous
    • one year ago
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    hmmm ok

  24. anonymous
    • one year ago
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    so do we now multiply by 4?

  25. anonymous
    • one year ago
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    no now we are done

  26. anonymous
    • one year ago
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    ohhh okay this is a different method i got it now

  27. anonymous
    • one year ago
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    we got the unit rate of \(\frac{1}{42}\) that was pump per hour

  28. anonymous
    • one year ago
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    then we multiplied by 4 to get the rate for 4 pumps and got \(\frac{2}{21}\)

  29. anonymous
    • one year ago
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    ahhhh ic

  30. anonymous
    • one year ago
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    then we solved \[\frac{2}{21}T=1\] the 1 being one pool

  31. anonymous
    • one year ago
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    if it was two pools it would have been \[\frac{2}{21}=2\]

  32. anonymous
    • one year ago
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    hmmm okay i think i understand now i'll review the last 2 problems we did a couple of times

  33. anonymous
    • one year ago
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    ok if you get stuck let me know

  34. anonymous
    • one year ago
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    i will thanks <333

  35. anonymous
    • one year ago
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    we can make one up and do it now if you like

  36. anonymous
    • one year ago
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    yes yes that would help even more

  37. anonymous
    • one year ago
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    see that they are not that hard and are largely the same

  38. anonymous
    • one year ago
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    yea

  39. anonymous
    • one year ago
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    you want me to make it up, or you want to?

  40. anonymous
    • one year ago
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    can u ?

  41. anonymous
    • one year ago
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    k they numbers might not come out real nice if i make it up off the top of my head, but no matter

  42. anonymous
    • one year ago
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    ok

  43. anonymous
    • one year ago
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    it takes 5 hours for 8 men to build one wall how long would it take 10 men to build 2 walls (sexist i now but whatever)

  44. anonymous
    • one year ago
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    first find the unit rate for one man let me know when you think you have it

  45. anonymous
    • one year ago
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    1/8 divided by 5 = 1/40

  46. anonymous
    • one year ago
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    yay!

  47. anonymous
    • one year ago
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    now the rate for 10 men

  48. anonymous
    • one year ago
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    1/40 * 10 = 10/40 = 1/4

  49. anonymous
    • one year ago
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    ok good now how long to build 2 walls

  50. anonymous
    • one year ago
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    1/4 * 2= 2/4= 1/2

  51. anonymous
    • one year ago
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    aw damn we were doing so well

  52. anonymous
    • one year ago
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    oh crap...

  53. anonymous
    • one year ago
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    not going to take half an hour !

  54. anonymous
    • one year ago
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    now we need to go slow either we solve \[\frac{1}{4}T=2\]

  55. anonymous
    • one year ago
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    ohhhhhh yeaaaa thats right so 8

  56. anonymous
    • one year ago
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    yup

  57. anonymous
    • one year ago
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    ok i'll keep practicing this

  58. anonymous
    • one year ago
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    almost got it 100% thanks satellite

  59. anonymous
    • one year ago
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    ok, i think it is getting easier though right? first part went quick

  60. anonymous
    • one year ago
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    yw

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