Question
A can do a job in 10 days, B in 15 days, and C in 20 days. How long will it take them to complete the job working together?
A can do a job in 10 days, B in 15 days, and C in 20 days. How long will it take them to complete the job working together?
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Koala Tutor
Koala Ai Support
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To find out how long it will take them to complete the job working together, we need to calculate their work rates.
Let's assume that the job consists of 1 unit of work.
Therefore, A can do 1/10 of the job per day (as they can complete the job in 10 days).
Similarly, B can do 1/15 of the job per day, and C can do 1/20 of the job per day.
To determine the combined work rate, we add up their individual work rates:
A+B+C = 1/10 + 1/15 + 1/20 = 3/30 + 2/30 + 1/30 = 6/30 = 1/5
This means that together, they can complete 1/5 of the job per day.
To finish the entire job, it will take 1 / (1/5) = 5 days when they all work together.
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