anonymous
  • anonymous
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?
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
Wouldn't it be the same amount of hours?
anonymous
  • anonymous
What was wrong with my previous answer?
anonymous
  • anonymous
9 hours.

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anonymous
  • anonymous
Not necessarily. And could you please show some work?
anonymous
  • anonymous
well lets say the assistant worked at the same rate as the worker. then it would take half the time, 4 hours right.
anonymous
  • anonymous
Oh. Nevermind. The answer is 40/3 hours.
anonymous
  • anonymous
oh :(
anonymous
  • anonymous
13 hours? how?
anonymous
  • anonymous
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
anonymous
  • anonymous
are you sure?
anonymous
  • anonymous
why 1/A ?
anonymous
  • anonymous
It's the work rate.
anonymous
  • anonymous
Algebra.
anonymous
  • anonymous
why is the rate 1/A ?
anonymous
  • anonymous
sorry, i dont get it
anonymous
  • anonymous
So it takes you 6 minutes to shower, right?
anonymous
  • anonymous
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?
anonymous
  • anonymous
http://www.purplemath.com/modules/workprob.htm
anonymous
  • anonymous
That makes sense.

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