45 men can complete a work in 16 days. Six days after they started working, 30…
2024
45 men can complete a work in 16 days. Six days after they started working, 30 more men joined them. In how many days the total work will be completed ?
- A.
12
- B.
8
- C.
15
- D.
14
Attempted by 821 students.
Show answer & explanation
Correct answer: A
Solution: 1
We have been given that 45 men can complete the work in 16 days.
Hence product of men and days required to complete the task = 45 × 16
= 720
We have 45 men working for 6 days, hence number of man-hours completed = 45 × 6
= 270
Hence remaining men hours = 720 – 270
= 450
Now, we got 30 more men
Hence number of men working now = 45 + 30
= 75
Now, number of days required = 450/75
= 6
Hence total number of days required = 6 + 6
= 12