A and B can finish a piece of work in 6 days and 10 days respectively. A began the work and worked at it for 2 days. He was then joined by B. Find the total time taken to complete the work.
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A and B can do a piece of work in 6 days and 4 days respectively. A started the work; worked at it for 2 days and then was joined by B. What is the total time taken to complete the work?
A can do the work in 6 days
A in 1 day can finish 1/6 th of the work
In 2 days A would have finished 2 x 1/6 = 1/3 Of the work
Remaining work to be completed: 2/ 3 of the work
B in 1 day can finish 1/4 th of the work
A & B in 1 day can finish 1/4 + 1/6 = 5/12 work
5/12 Of the work can be completed by A and B in 1 day
2/3rd of the work to be completed :— 2/3 x 12/5 = 8/5 days
1/3 rd of the work earlier by A alone :— 2 days
Total time taken to complete the work:— 2 + 8/5 days = 3 1/6 days
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