Fourteen persons can do a work in 18 days, After 5 days of work, 6 workers left the work, and joined back on the last day of the work. In how many days the work got completed?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 27.
Let the efficiency of 1 man = 1 unit/day
Total work = 18 × 14 = 252 units
Work done in 5 days = 5 × 14 = 70 units
Remaining work = 252 - 70 = 182 units
No of workers left = 14 - 6 = 8
Let the remaining work can be completed in 'n' days so,
⇒ 8(n - 1) + 14 × 1 = 182
⇒ 8n = 182 - 6
⇒ 8n = 176
n = 22 days
Total working days = 22 + 5 = 27 days