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Answer :
Final answer:
Five men can make 50 tables working for 10 days at the rate of 6 hours a day, when 10 men can make 200 tables in 15 days working 8 hours per day. The production rate is determined by first calculating how many tables one man can make in one hour and then applying this rate to the conditions for 5 men. The correct answer is option d.
Explanation:
To solve this work-rate problem, we first determine how many tables one man can make in one hour. Since 10 men make 200 tables in 15 days working 8 hours each day, we can calculate the production rate as follows:
- Total hours worked by one man = 15 days imes 8 hours/day = 120 hours.
- Total tables made by one man = 200 tables / 10 men = 20 tables.
- Tables made per hour by one man = 20 tables / 120 hours = 1/6 table per hour.
Now, we calculate how many tables 5 men can make, working for 10 days at the rate of 6 hours per day:
- Total work hours for 5 men = 5 men imes 10 days imes 6 hours/day = 300 hours.
- Total tables made by 5 men = 300 hours imes (1/6) table per hour = 50 tables.
Therefore, 5 men can make 50 tables working for 10 days at the rate of 6 hours a day. The correct answer is option d) 50 tables.
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