A and B can finish a piece of work in 4 days and 6 days respectively. B started the work and worked at it for one day. He was then joined by A. Find the total time taken to finish the work
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Step-by-step explanation:
Hi,
Given that A can finish a piece of work in 6 days,
So, in one day A will do 1/6 th of work,
Given that B can finish a piece of work in 4 days,
So, in one day B will do 1/4 th of work,
Given that initially A has worked for 2 days,
So A will complete 2*1/6 = 1/3 rd of work
Remaining Work = 2/3 rd of work.
If A and B works together,
In 1 day, bot A and B could do = (1/6 + 1/4) of work
= 5/12 th of work
So, 2/3 rd of work requires 2/3*1/(5/12)
= 8/5 days,
Total time , to finish the work
= Time A working alone an Time taken when both A and B are
working together
= 2 + 8/5
= 18/5 days
Hope, it helps
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