12 men can make 24 articles in 6 days then ____ articles can be made by three men in 3 days then P/100 is equal to ____
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12 men can make 24 articles in 6 days then ____ articles can be made by three men in 3 days then P/100 is equal to ____
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Answer:x = 3
Step-by-step explanation:
To find out how many articles can be made by three men in 3 days, you can use the concept of man-days.
12 men can make 24 articles in 6 days, which means they produce 24 articles in 72 man-days (12 men x 6 days).
Now, to find out how many articles three men can make in 3 days, you can set up a proportion:
(12 men * 6 days) / (3 men * 3 days) = (24 articles) / (x articles)
Solving for x, you get:
(72) / (9) = (24) / (x)
72/9 = 24/x
8 = 24/x
x = 24/8
x = 3
Answer:
Step-by-step explanation: Let's break down the information given in the problem:
12 men can make 24 articles in 6 days.
We need to find out how many articles can be made by three men in 3 days.
First, we can calculate the rate at which 12 men work. They make 24 articles in 6 days, so their rate is 24 articles / 6 days = 4 articles per day.
Now, we want to find out how many articles can be made by three men in 3 days. We can calculate this using the rate:
Rate = Work / Time
For three men in 3 days:
Rate = Work / 3 days
We already know the rate is 4 articles per day, so we can calculate the work done by three men in 3 days:
Work = Rate × Time
Work = 4 articles per day × 3 days = 12 articles
So, three men can make 12 articles in 3 days.
Now, let's move on to the second part of your question:
We need to find the value of P/100.
To find P/100, we can set up a proportion using the work done. If 12 articles are made by three men in 3 days, we can express this as:
12 articles / (3 men * 3 days)
Now, we want to find P such that P/100 is equivalent to the above fraction:
P/100 = 12 articles / (3 men * 3 days)
We can solve for P:
P = (12 articles / (3 men * 3 days)) * 100
P = (12 / 9) * 100
P = 4/3 * 100
P = 400/3
So, P/100 is equal to 400/3.