Answer :
Final answer:
By calculating the total man-hours in both scenarios and the man-hours required per table, we find that 5 men can make 50 tables working for 10 days at a rate of 6 hours per day.
Explanation:
To solve the question 'If 10 men can make 200 tables working for 15 days at the rate of 8 hr per day, how many tables can 5 men make working for 10 days at the rate of 6 hr a day?', we need to compute the total man-hours required to make a certain number of tables and then determine how many tables can be made given a different set of conditions. The initial scenario gives us that 10 men making 200 tables in 15 days working 8 hours a day equals a total of 10 men * 15 days * 8 hours/day = 1200 man-hours. Since 200 tables are made in 1200 man-hours, this means each table requires 1200 man-hours / 200 tables = 6 man-hours per table.
In the new scenario, 5 men work for 10 days at 6 hours per day, which amounts to 5 men * 10 days * 6 hours/day = 300 man-hours. To find out how many tables these men can produce, we divide the total man-hours by the man-hours required per table: 300 man-hours / 6 man-hours/table = 50 tables. Therefore, the answer is option b. 50.
