Mahesh can complete a job in 5 days Mahesh is twice as fast as Akhilesh while Akhilesh is thrice as ...........

Quant (SSC) Time and work

Mahesh can complete a job in 5 days. Mahesh is twice as fast as Akhilesh while Akhilesh is thrice as fast as Nimesh. If all of them work together, in how many days would the job get completed?

5 days

9 days

12 days

3 days

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Explanation:

As per the question,
Mahesh can do a piece of work in 5 days,
Akhilesh can do the same work in 10 days,
Nimesh can do the same work in 30 days.
So together they can do the piece of work in 1 day,
= (1/5 + 1/10 + 1/30)
= (12 + 6 + 2 /60) + 20/30 = 1/3
In a day they finsih 1/3rd of the work.
Hence, together they will finish the piece of work in 3 days.