If 16 men can construct 800 tables in 9 days how long will it take 15 men to construct 1000 tables if they work at the same rate
15/16 as many men, so 16/15 as much time
5/4 as many tables, so 5/4 as much time
9 * 16/15 * 5/4 = 12 days
or, using the man-days of labor,
there are 16*9/800 man-days/table
1000 tables * 144/800 m-d/table = (1000*144/800 m-d)/(15 men) = 12 days
To solve this question, we need to determine the relationship between the number of men and the number of tables, as well as the relationship between the number of tables and the number of days.
Let's break down the given information:
- 16 men can construct 800 tables in 9 days.
- We want to find out how long it will take for 15 men to construct 1000 tables.
First, we can find the ratio of the number of men to the number of tables. In this case, 16 men can construct 800 tables. We can divide 800 tables by 16 men to find that each man can construct 800/16 = 50 tables.
Next, we can determine the number of tables that can be constructed in one day. We divide the total number of tables (800) by the number of days (9) to find that 800/9 = 88.89 tables can be constructed in one day.
Now that we have the ratio of the number of men to the number of tables and the number of tables to the number of days, we can use this information to find how long it will take for 15 men to construct 1000 tables.
Since each man can construct 50 tables, 15 men can construct 15 * 50 = 750 tables in one day.
Now we need to find out how many days it will take to construct 1000 tables at a rate of 750 tables per day. We divide the total number of tables (1000) by the number of tables constructed in one day (750) to get 1000/750 = 1.33 days.
Therefore, it will take 15 men approximately 1.33 days to construct 1000 tables if they work at the same rate.