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A and b can finish a piece of work in 6 day and 4 days respectively A started the work and worked for 2 days he was then joined by B find the total time taken to finish the work?
Wiki User
∙ 13y ago
A does 1/6 of the work in 1 day.
B does 1/4 of the work in 1 day.
Assuming there is no synergy, A and B, together do 1/6 + 1/4 = 5/12 of the work in 1 day
A worked for 2 days so completed 2*(1/6) = 1/3 of the work.
So 2/3 of the work remained to be done by A and B together.
They would do it in (2/3) / (5/12) = (2/3) * (12/5) =24/15 = 8/5 = 1.6 days.
The total time to finish the work is 2 days + 1.6 days = 3.6 days.
Wiki User
∙ 13y ago
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