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(39838) About Me  (Show Source):
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Skilled to do 1 job, 4R%2A5=1, meaning the one-worker rate R=1%2F20

Semi skilled to do 1 job, 5r%2A6=1, meaning the one worker rate r=1%2F30


If one of each worker work together, their rate combined is 1%2F20%2B1%2F30 in unit jobs per days.
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3%2F60%2B2%2F60

5%2F60
1%2F12---------------this is 1 job in 12 days, if 1 semiskilled and 1 skilled worker are working together.

Answer by ikleyn(53937) About Me  (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?
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Rate of work of one skilled worker is  1%2F%284%2A5%29 = 1%2F20  of the job per day.


Rate of work of one semi-skilled worker is  1%2F%285%2A6%29 = 1%2F30  of the job per day.


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


    1%2F20 + 1%2F30 = 3%2F60 + 2%2F60 = 5%2F60  = 1%2F12  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.