or
or
Given:
First, calculate the total man-days required for this task: Total man-days = (Number of laborers) × (Number of days) = 17 × 18 = 306 man-days.
Now, we want to find out how many more laborers are needed if they work 9 hours a day. Let's denote the number of additional laborers needed as "x."
In this case, the total man-days required to complete the same task with 9 hours of work per day would remain the same (306 man-days).
So, we can set up the equation: (17 + x) laborers × 9 hours per day = 306 man-days
Now, solve for x:
17x + 9x = 306 26x = 306 x = 306 / 26 x = 51
So, 51 more laborers are needed if they work 9 hours a day to complete the same task.
The correct answer is 51.
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