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Grazes

  • 2 years ago

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?

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  1. Lily_980
    • 2 years ago
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    Wouldn't it be the same amount of hours?

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

  3. JamesWolf
    • 2 years ago
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    9 hours.

  4. Grazes
    • 2 years ago
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    Not necessarily. And could you please show some work?

  5. JamesWolf
    • 2 years ago
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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.

  6. Grazes
    • 2 years ago
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    Oh. Nevermind. The answer is 40/3 hours.

  7. JamesWolf
    • 2 years ago
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    oh :(

  8. JamesWolf
    • 2 years ago
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    13 hours? how?

  9. Grazes
    • 2 years ago
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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

  10. JamesWolf
    • 2 years ago
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    are you sure?

  11. JamesWolf
    • 2 years ago
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    why 1/A ?

  12. Grazes
    • 2 years ago
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    It's the work rate.

  13. Grazes
    • 2 years ago
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    Algebra.

  14. JamesWolf
    • 2 years ago
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    why is the rate 1/A ?

  15. JamesWolf
    • 2 years ago
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    sorry, i dont get it

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

  17. Grazes
    • 2 years ago
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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?

  18. Grazes
    • 2 years ago
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    http://www.purplemath.com/modules/workprob.htm

  19. JamesWolf
    • 2 years ago
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    That makes sense.

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