30 persons working 10 hours a day can do 5 units of work in 12 days. How many people are required to do 8 units of that work in 16 days if they work for 8 hours a day?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 45.
Total work = 30 × 10 × 12 = 3600 man-hours for 5 units
So, 1 unit = 3600 ÷ 5 = 720 man-hours
Then, 8 units = 8 × 720 = 5760 man-hours
Let required persons be x:
x × 8 hours/day × 16 days = 5760
x × 128 = 5760
x = 5760 ÷ 128 = 45