9 persons can make 18 toys in 4 days working 8 hours a day. How many toys can 12 persons make in 6 days working 12 hours a day?
Question
9 persons can make 18 toys in 4 days working 8 hours a day. How many toys can 12 persons make in 6 days working 12 hours a day?
Solution
First, we need to find out how many toys one person can make in one hour.
From the given information, we know that 9 persons can make 18 toys in 4 days working 8 hours a day.
So, total working hours for 9 persons = 4 days * 8 hours/day = 32 hours
Since 9 persons can make 18 toys in 32 hours, one person can make 18 toys / 9 persons = 2 toys in 32 hours.
Therefore, one person can make 2 toys / 32 hours = 0.0625 toys in one hour.
Now, we need to find out how many toys 12 persons can make in 6 days working 12 hours a day.
Total working hours for 12 persons = 6 days * 12 hours/day = 72 hours
Since one person can make 0.0625 toys in one hour, 12 persons can make 0.0625 toys/hour * 12 persons = 0.75 toys in one hour.
Therefore, 12 persons can make 0.75 toys/hour * 72 hours = 54 toys in 6 days working 12 hours a day.
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