MNC company employed 25 men to do the official work in 32 days. After 16 days, it employed 5 more men and work was finished one day earlier. If it had not employed additional men, it would have been behind by how many days?
Just want to know
At the end how
Delayed time=18-16=2 days
How it happens
projected work was ... 25 men * 32 days = 800 man days
actual work was ... (25 m * 16 d) + [30 m * (32 - 16 - 1) d] = 850 md
the actual work took 50 md more than projected
.. this would have been 2 extra days with the 25 man crew
Very good
To understand how the delay was reduced from 18 days to 2 days, let's break down the problem and analyze the given information step by step:
1. Initially, the MNC company employed 25 men to do the official work in 32 days. This means that the work could be completed in 32 days with 25 men working.
2. After 16 days, the company decided to employ 5 more men to speed up the work. So, at this point, the work was in progress for 16 days, and the additional 5 men joined the existing 25 men.
3. With the additional 5 men, the work was finished one day earlier than originally planned. This means that the work was completed in 31 days instead of 32 days.
Now, let's calculate the initial work rate and the revised work rate to understand how the delay was reduced from 18 days to 2 days:
Initial work rate:
25 men working for 32 days = 25 * 32 = 800 man-days
Revised work rate:
30 men (25 existing + 5 additional) working for 31 days = 30 * 31 = 930 man-days
The work rate is calculated by multiplying the number of men with the number of days.
To calculate the time difference (delay) between the two scenarios:
Initial time required: 32 days
Time with revised work rate: 31 days
Initial delay: 32 days - 16 days = 16 days
Revised delay: 31 days - 16 days = 15 days
The original delay was 16 days, but after employing additional men, the delay was reduced to 15 days.
Therefore, the delay was reduced by 16 days - 15 days = 1 day. This reduction in delay resulted in the work being finished 1 day earlier.
However, it's important to note that the original question asks for the delay if no additional men were employed. In that case, the delay would have remained at 16 days instead of 15 days.