SOLUTION: 4 skilled workers can complete a job in 5 days. 5 semi-skilled workers can complete the same job in 6 days. How long does it take 1 skilled work and 1 semi-skilled worker to comple

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Question 1185686: 4 skilled workers can complete a job in 5 days. 5 semi-skilled workers can complete the same job in 6 days. How long does it take 1 skilled work and 1 semi-skilled worker to complete the same job if they work together?

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Skilled to do 1 job, , meaning the one-worker rate

Semi skilled to do 1 job, , meaning the one worker rate


If one of each worker work together, their rate combined is in unit jobs per days.
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---------------this is 1 job in 12 days, if 1 semiskilled and 1 skilled worker are working together.
Answer by ikleyn(52787)   (Show Source): You can put this solution on YOUR website!
.
4 skilled workers can complete a job in 5 days. 5 semi-skilled workers can complete the same job in 6 days.
How long does it take 1 skilled work and 1 semi-skilled worker to complete the same job if they work together?
~~~~~~~~~~~~~~~~ 

Rate of work of one skilled worker is   =   of the job per day.


Rate of work of one semi-skilled worker is   =   of the job per day.


When one skilled worker and one semi-skilled worker work together, their combined rate of work is


     +  =  +  =   =   of the job per day.


It means that one skilled worker and one semi-skilled worker will complete the job in 12 days working together.    ANSWER

Solved.



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