SOLUTION: Emma can do a job in 12 days. After she has work for 4 days, she is joined by marie. They finish the job together in 2 more days. How long would it take Marie to do the whole job

Question 715924: Emma can do a job in 12 days. After she has work for 4 days, she is joined by marie. They finish the job together in 2 more days. How long would it take Marie to do the whole job alone?
Answer by josgarithmetic(39613) (Show Source): You can put this solution on YOUR website!
A good way to handle work-rate job completion is to use Rate*Time=Jobs, with the rate being expressed as how many jobs per unit time.
Let e = Emma's rate = 1/12 jobs per day
Let m = marie's rate, unknown

Progress of the job:
Examine the equation to see that for two days working together, Marie's and Emma's rates are combined by addition.

The task now is to calculate m from that equation, m being Marie's rate alone.

, JOBS/DAY, according to the way the rate variable was assigned.

That equivalently means, Marie can do this 1 job in 4 days.
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