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Question 947922: An elementary school teacher can assemble and staple the weekly newsletter four times faster than her student aide. Working together, they can assemble and staple the letters in 8 minutes. How long would it take each, working alone, to complete the job?
Answer by ptaylor(2198)   (Show Source):
You can put this solution on YOUR website! An elementary school teacher can assemble and staple the weekly newsletter four times faster than her student aide. Working together, they can assemble and staple the letters in 8 minutes. How long would it take each, working alone, to complete the job?
Let x=time required by teacher
Then 4x=time required by aid
Teacher works at the rate of 1/x of the newsletter per minute
Aid works at the rate of 1/4x of the newsletter per minute
We are told that together they work at the rate of 1/8 of the newsletter per minute
Sooooo
1/x + 1/4x=1/8 multiply each term by 8x
8+2=x
x=10 minutes------ time required by the teacher
4x=4*10=40 minutes----time required by aid
CK
1/10+1/40=???1/8
4/40+1/40=1/8
5/40=1/8
1/8=1/8
Hope this helps----ptaylor
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