SOLUTION: 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

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

RELATED QUESTIONS
If a teacher can finish a test 3 times faster than a student that finishes it in 40... (answered by josgarithmetic,josmiceli)

1. An elementary school maintains a student to teacher ratio of 24 to 1. if the school... (answered by fractalier)

The company newsletter needs to get out by the end of the workday. Karen can staple and... (answered by ankor@dixie-net.com)

The company newsletter needs to get out by the end of the workday. Karen can staple and... (answered by mananth)

A math teacher assigns one second of homework the first week of school, two seconds the... (answered by stanbon,ewatrrr)

A school board is investigating various ways of composing faculty for a proposed new... (answered by CPhill)

How many ways can 8 elementary school students (4 boys and 4 girls) and their teacher be... (answered by ewatrrr)

Linear Inequalities The school board is investigating ways to hire a faculty for the... (answered by psbhowmick)

The probability that a randomly selected elementary or secondary school teacher from a... (answered by ewatrrr)