Time and Work - Find the Number of Days to Finish the Work Together
A can finish a work in 8 days and B can do the same work in 24 days. In how many days they work together can complete the work?
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Let the total work be X
A takes 8 days to complete X; this means in 1 day he does X/8 work.
B takes 24 days to complete X; this means in 1 day he does X/24 work
If we put both A & B together, in 1 day, they will do X/8 + X/24 work = X/6 work.
So from here we can clearly see that 1/6th of the work is being done by both A & B.
As a result it will take 6 days to complete the work if both A & B work together.
A takes 8 days to complete X; this means in 1 day he does X/8 work.
B takes 24 days to complete X; this means in 1 day he does X/24 work
If we put both A & B together, in 1 day, they will do X/8 + X/24 work = X/6 work.
So from here we can clearly see that 1/6th of the work is being done by both A & B.
As a result it will take 6 days to complete the work if both A & B work together.
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