Carpenter A can make a chair in 6 hours, carpenter B in 7 hours and carpenter C in 8 hours. If each carpenter works for 8 hours per day, how many chairs will be made in 21 days?
- A61
- B67
- C73Correct
- D79
Explanation
To find the total number of chairs, we first calculate the total working hours available for each carpenter over 21 days. Since each works 8 hours per day for 21 days, the total time for each is 168 hours.
Next, we calculate how many chairs each carpenter can complete within that time:
Carpenter A takes 6 hours per chair. In 168 hours, A makes 168 divided by 6, which equals 28 chairs.
Carpenter B takes 7 hours per chair. In 168 hours, B makes 168 divided by 7, which equals 24 chairs.
Carpenter C takes 8 hours per chair. In 168 hours, C makes 168 divided by 8, which equals 21 chairs.
Finally, we add their individual outputs together: 28 plus 24 plus 21 equals 73.
Therefore, 73 chairs will be made in 21 days. The correct option is C.
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