High School

If 10 men can make 200 tables working for 15 days at the rate of 8 hours per day, how many tables can 5 men make working for 10 days at the rate of 6 hours a day?

A. 50 tables
B. 75 tables
C. 100 tables
D. 125 tables

Answer :

Final Answer:

Teamwork! 10 people make 200 tables in 1200 hours, so each person makes 1/6 tables per hour. A new team of 5 people works 300 hours, so they can make 5300(1/6) = 50 tables. So the answer is (a) 50.

Explanation:

We can solve this problem using the following steps:

Calculate the total work done by the first group (10 men):

Work = Men * Days * Hours = 10 men * 15 days * 8 hours/day = 1200 men-hours

Calculate the rate of tables made per man per hour:

Rate = Total tables / Total work = 200 tables / 1200 men-hours = 1/6 tables/man-hour

Calculate the total work done by the second group (5 men):

Work = Men * Days * Hours = 5 men * 10 days * 6 hours/day = 300 men-hours

Calculate the number of tables made by the second group:

Tables = Work * Rate = 300 men-hours * 1/6 tables/man-hour = 50 tables

Therefore, the second group of 5 men can make (a) 50 tables.