18 workers can complete a piece of work in 96 days. They start working together and after 26 days 10 more workers join them. In how many days in all will the work be completed?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 71.
Given that
Number of days taken to complete the work W by 18 workers = 96 days
Also, 18 workers work for 26 days after which 10 more workers join
Let the extra workers work for x days
Since the total amount of work remains constant
18 × 96 = 18 × 26 + 28 × x
Solving for x we get
x = 45
Hence the work will be completed in 45 + 26 = 71 days.