Question

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?

Answer 1

Answer:

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Answer 2

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.