Mishra takes twice as much time as Dinesh or thrice as much time as Umesh to finish a piece of work ...........

Quantitative Aptitude ( CCS) Time and work

Mishra takes twice as much time as Dinesh or thrice as much time as Umesh to finish a piece of work. Working together, they can finish the work in 2 days, Dinesh can do the work alone in :

6 hrs

12 hrs

18 hrs

20 hrs

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Explanation:

Suppose Mishra, Dinesh and Umesh take x,x/2 and x/3 hours respectively to finish the work.
Then, (1/x+2/x+3/x) = 1/2
=> 6/x=1/2
=> x = 12.
So, Dinesh takes 6 hours to finish the work.