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Grazes

A worker can build a fence in 8 hours, With the help of an assistant, the fence can be built in 5 hours. How long should it take the assistant, working alone, to build the fence?

  • one year ago
  • one year ago

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  1. Lily_980
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    Wouldn't it be the same amount of hours?

    • one year ago
  2. JamesWolf
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    What was wrong with my previous answer?

    • one year ago
  3. JamesWolf
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    9 hours.

    • one year ago
  4. Grazes
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    Not necessarily. And could you please show some work?

    • one year ago
  5. JamesWolf
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    well lets say the assistant worked at the same rate as the worker. then it would take half the time, 4 hours right.

    • one year ago
  6. Grazes
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    Oh. Nevermind. The answer is 40/3 hours.

    • one year ago
  7. JamesWolf
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    oh :(

    • one year ago
  8. JamesWolf
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    13 hours? how?

    • one year ago
  9. Grazes
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    Worker=W Assistant=A 1/A+1/W=1/5 1/A+1/8=1/5 8+A/8A=1/5 5*(8+A)=8A 40+5A=8A 3A=40 A=40/3 hours

    • one year ago
  10. JamesWolf
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    are you sure?

    • one year ago
  11. JamesWolf
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    why 1/A ?

    • one year ago
  12. Grazes
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    It's the work rate.

    • one year ago
  13. Grazes
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    Algebra.

    • one year ago
  14. JamesWolf
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    why is the rate 1/A ?

    • one year ago
  15. JamesWolf
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    sorry, i dont get it

    • one year ago
  16. Grazes
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    So it takes you 6 minutes to shower, right?

    • one year ago
  17. Grazes
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    You've showered for 2 minutes already. Doesn't that mean that you showered for 2/6 of the regular shower time or 1/3?

    • one year ago
  18. Grazes
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    http://www.purplemath.com/modules/workprob.htm

    • one year ago
  19. JamesWolf
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    That makes sense.

    • one year ago
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