105 people could complete a work in 36 days. But after they worked together for 8 days their employer wanted that the work should be completed in a total of 29 days. How many more workers need to be employed to meet the deadline?

Correct option is B

Given:

Number of workers initially = 105
Total days initially = 36
Work completed in first 8 days = 8 × 105
New total days required = 29
Remaining days = 29 - 8 = 21 days

Formula Used:

Work done = Number of workers × Number of days
Work left = Total work - Work done in first 8 days
Let the number of additional workers required be x.
Work done by (105 + x) workers in remaining 21 days = Work left

Solution:

Total work done in 36 days by 105 workers = 105 × 36 = 3780 units of work.

Work done in the first 8 days = 105 × 8 = 840 units of work.

Remaining work = 3780 - 840 = 2940 units of work.

Let the number of additional workers required be x.
The total number of workers now = 105 + x.
The work to be completed in 21 days by (105 + x) workers is equal to the remaining work:
(105 + x) × 21 = 2940
105 + x = 2940 / 21 = 140
x = 140 - 105 = 35