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A can do a piece of work in 12 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days, in how many days B alone can finish the work?
Total number of days A will take to complete the work = 12
The work was completed in 8 days.
So, the work done by A in 8 days = 8 / 12 = 2 / 3
Let’s take the total work as 1.
The remaining work which was done by B = 1 – (2 / 3)
==> (3 – 2) / 3
==> 1 / 3
Here B is joining the work 2 days after A started the work.
So, the number of days B worked = 8 – 2 = 6
To find the number of days B would take to complete the work alone, you need to divide the work done by B from the number of working days.
==> 6 / (1 / 3)
==> 6 (3) = 18
The number of days B needs to finish the work is 18 days.
Explanation of the Method
In this problem, we need to calculate the number of days that person B takes to complete a work alone. We have used the concepts of work done and time to solve the problem.
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We had to determine the work done by A and B separately. By breaking down the whole work done by the two people as fractions, we can find the solution to this problem.
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Source: Math Hello Kitty
Categories: Math
