A work is started by a man on the first day Each subsequent day a new person joined the work and it ...........

Quantitative Aptitude ( CCS) Time and work

A work is started by a man on the first day. Each subsequent day a new person joined the work and it is known that the total work will completed on the 11th day. If from the starting day 6 men working on that work and no new men added later, in how many days the work got completed?

15 days

12 days

14 days

11 days

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Explanation:

Solution:
1day work of a man is 1 unit. If a new person joined the work on second day, 2 units of work get completed. Similarly 3 units on 3rd day, 4 units on 4th day so on…
Then for all the eleven days the total work = 1 + 2 + 3+ ………….11 = 66 units (Use formula
N(N+1)/2)
Now 6 men /day work = 6 units/day.
They can complete 66 units of work in = 66/6 =11 days