Three workers sort 66 boxes in a day. One of the workers is three times more productive than the second worker and twice as productive as the third worker. How many boxes did the second most productive worker sort?
Answer (2)
1 worker = x
2 worker = 2 w or k er 1 = 3 x
3 worker = 3 w or k er 1 = 3 x
so:
66 = x + 3 x + 2 x
66 = x + 6 2 x + 6 3 x
66 ∗ 6 = 6 x + 2 x + 3 x
396 = 11 x
x = 36
so:
worker 1 sorted 36 boxes worker 2 sorted 18 boxes worker 3 sorted 12 boxes
The second most productive worker (Worker 3) sorted 18 boxes. Worker 1 sorted 36 boxes, while Worker 2 sorted 12 boxes. Hence, the productivity distribution is 36, 18, and 12 boxes respectively.
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