To complete a job it takes:
2 hours for Alice + Bob
3 hours for Alice + Charlie
4 hours for Bob + Charlie
How long will the job take if all three work together?
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Step-by-step explanation:
1 hour work of:
Alice+Bob = 1/2
Alice+Charlie = 1/3
Bob+Charlie=1/4
Therefore, Adding all
1 hour work of Bob+Alice+Charlie= (1/2 + 1/3 + 1/4)/2
= 13/24
Therefore, All three can do the work in 24/13 hours.
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