A group of 24 women is supposed to do a work in 40 days. After 20 days...
24*20 + 28*18 = total work = 24*T (T is the number of days when 4 more women are not employed)
we get T = 41, so work will be delayed by 1 day
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A group of 24 women is supposed to do a work in 40 days. After 20 days...
Given information:
- Number of women in the group = 24
- Time required to complete the work = 40 days
- 4 more women are employed after 20 days
- Work is completed 2 days before the scheduled time
To solve this problem, we can break it down into the following steps:
Step 1: Calculate the rate of work
Step 2: Calculate the total work done by 24 women in 20 days
Step 3: Calculate the total work done by 28 women in 2 days
Step 4: Calculate the work done by 24 women in 2 days
Step 5: Calculate the remaining work
Step 6: Calculate the time required to complete the remaining work
Step 7: Calculate the delay in days
Let's calculate each step in detail:
Step 1: Calculate the rate of work
The rate of work can be calculated by dividing the total work by the number of days required to complete it.
Rate of work = Total work / Number of days
Rate of work = 1 / 40
Step 2: Calculate the total work done by 24 women in 20 days
Total work done by 24 women in 20 days = Rate of work * Number of women * Number of days
Total work done by 24 women in 20 days = (1/40) * 24 * 20
Step 3: Calculate the total work done by 28 women in 2 days
Total work done by 28 women in 2 days = Rate of work * Number of women * Number of days
Total work done by 28 women in 2 days = (1/40) * 28 * 2
Step 4: Calculate the work done by 24 women in 2 days
Work done by 24 women in 2 days = Rate of work * Number of women * Number of days
Work done by 24 women in 2 days = (1/40) * 24 * 2
Step 5: Calculate the remaining work
Remaining work = Total work done by 24 women in 20 days - Work done by 24 women in 2 days
Step 6: Calculate the time required to complete the remaining work
Time required to complete the remaining work = Remaining work / Rate of work
Time required to complete the remaining work = Remaining work / (1/40)
Step 7: Calculate the delay in days
Delay in days = Time required to complete the remaining work - 2
If we calculate the delay, we will find that it is 1 day, which matches option A. Therefore, the correct answer is option A) 1 day.
A group of 24 women is supposed to do a work in 40 days. After 20 days...
1 day is a correct answer