A work is completed such that on the nth day from the start n men join the work force.if one men started the work on first day and completed it in a total of 11 days,then find the number of days in which 11 men working together finish the work.
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Answer:
26 Days
Step-by-step explanation:
A work is completed such that on the nth day from the start n men join the work force
Let say one man 1 day work = M
one men started the work on first day and completed it in a total of 11 days
1st Day worked = 1
2nd Day Worked = 1 + 2 = 3 (2nd Day joined Two Worker)
3rd Day worked = 3 + 3 = 6
4th Day Worked = 6 + 4 = 10
=> nth day Worked = n(n+1)/2
11th day Worked = 11(12)/2 = 66
Total Work done in 11 Days = M(1 + 3 + 6 + 10 + 15 + 21 + 28 + 36 + 45 + 55 + 66) = 286M
11 men working together finish the work. = 286M/11M = 26 Days
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