it takes 12 men to make 12 tables in 9 hours. how long will it take 8 men to make 32 tables?
12 men - 12 tables - 9 hrs
1 man - 1 table - 9 hrs
8 men - 1 table - 9/8 hrs
8 men - 32 tables - 32(9/8) or 36 hours
Well, if it takes 12 men to make 12 tables in 9 hours, then it's safe to say that 1 man can make 1 table in 9 hours.
Now, let's consider the second part of the question. If you have 8 men working, and each man can make 1 table in 9 hours, then you'll have 8 tables made in 9 hours.
But wait, there's more! You want to know how long it will take 8 men to make 32 tables, not just 8. So, if they can make 8 tables in 9 hours, it stands to reason that they'll need 4 times as long to make 32 tables.
So, multiply 9 hours by 4, and you'll get your answer: It will take 8 men a whopping 36 hours to make 32 tables! Now that's what I call table-making at a leisurely pace.
To solve this problem, we need to use the concept of man-hours. Man-hours refer to the total number of hours worked by a given number of men.
First, let's find out the number of man-hours required to make 12 tables with 12 men in 9 hours. If 12 men worked for 9 hours, the total man-hours would be 12 x 9 = 108 man-hours.
Now, we need to determine how many man-hours it takes to make one table. We can find this by dividing the total man-hours (108) by the number of tables produced (12). So, 108 man-hours / 12 tables = 9 man-hours per table.
To determine how long it will take 8 men to make 32 tables, we need to find out the total man-hours required. We can do this by multiplying the desired number of tables (32) by the man-hours per table (9). So, 32 tables x 9 man-hours per table = 288 man-hours.
Next, we divide the total man-hours required (288) by the number of men (8) to find out how long it will take. Therefore, 288 man-hours / 8 men = 36 hours.
So, it will take 8 men approximately 36 hours to make 32 tables.
To find out how long it will take 8 men to make 32 tables, we need to calculate the total man-hours required for each scenario and then compare them.
In the given situation, 12 men make 12 tables in 9 hours. This means that each man takes 9 hours to build one table. To find the total man-hours, we multiply the number of men by the time taken per table:
Total man-hours = 12 men * 9 hours = 108 man-hours
Now, let's find out the time it would take for 8 men to make 32 tables. If we assume that the time per table remains constant, we can divide the total man-hours needed by the number of men:
Time for 8 men = Total man-hours / Number of men
Time for 8 men = 108 man-hours / 8 men
Calculating this, we get:
Time for 8 men = 13.5 hours
Therefore, it would take 8 men approximately 13.5 hours to make 32 tables.