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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
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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Lily_980Best ResponseYou've already chosen the best response.0
Wouldn't it be the same amount of hours?
 one year ago

JamesWolfBest ResponseYou've already chosen the best response.0
What was wrong with my previous answer?
 one year ago

GrazesBest ResponseYou've already chosen the best response.0
Not necessarily. And could you please show some work?
 one year ago

JamesWolfBest ResponseYou've already chosen the best response.0
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

GrazesBest ResponseYou've already chosen the best response.0
Oh. Nevermind. The answer is 40/3 hours.
 one year ago

GrazesBest ResponseYou've already chosen the best response.0
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

JamesWolfBest ResponseYou've already chosen the best response.0
why is the rate 1/A ?
 one year ago

JamesWolfBest ResponseYou've already chosen the best response.0
sorry, i dont get it
 one year ago

GrazesBest ResponseYou've already chosen the best response.0
So it takes you 6 minutes to shower, right?
 one year ago

GrazesBest ResponseYou've already chosen the best response.0
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

GrazesBest ResponseYou've already chosen the best response.0
http://www.purplemath.com/modules/workprob.htm
 one year ago
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