A and B can do a piece of work in 6 days and 4 days respectively. A started the work and worked for 2 days and was joined by B. Find total time taken to complete the work.
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3
5/12 days is taken by both of them to complete the work
Answered by
5
A can do a piece of work in 6 days
So,
He will complete 1/6 part of work in 1 day
B can do a piece of work in 4 days
So,
He will complete 1/4 part of work in 1 day
When they both work together then they can complete the work in let us assume x days
So,
1/x = 1/4 + 1/6
x= (6×4)/10
x=2.4
They can both complete the work in 2.4 days
Now,
A has already worked for 2 days so , he has completed 1/3 part of the work
Now, the part of work remaining is
=1-1/3
=2/3
So,
They both can complete a work in 2.4 days so, they will complete 2/3 part of the work in (2/3) × (2.4)
=8/5 days
Hence the total number of days required = 8/5 +2
=18/5
Therefore they will require a total of 18/5 days to complete the job
devanshu11976:
answer is 18/5
yes sir
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