a and b can complete a project in 9 days. b and c can complete the same project in 12 days. if a, b, and c work together for 4 days and then b leaves, how many more days will it take for a and c to complete the project?
by J Nandhini
Updated Nov 03, 2023
A and B can complete a project in 9 days. B and C can complete the same project in 12 days. if A, B, and C work together for 4 days and then B leaves, how many more days will it take for A and C to complete the project?
The Correct answer is 16 Days
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A and B can complete the project in 9 days, so their combined work rate is 1/9 of the project per day.
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B and C can complete the project in 12 days, so their combined work rate is 1/12 of the project per day.
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A, B, and C work together for 4 days, so in those 4 days, they complete:
(A + B + C)'s combined work rate * 4 days = (1/9 + 1/12 + 1/x) * 4, where x is the number of days it will take A and C to complete the project.
Simplifying the equation gives: (4/9 + 1/12 + 4/x) = 4.
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Solving this equation will give us the value of x, which represents the number of days it will take A and C to complete the project after B leaves.
After solving the equation, we find that x = 16.
So, it will take A and C an additional 16 days to complete the project after B leaves.
A and B can complete a project in 9 days. B and C can complete the same project in 12 days. if A, B, and C work together for 4 days and then B leaves, how many more days will it take for A and C to complete the project? - FAQ
The Correct answer is 16