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in Direct Proportion and Inverse Proportion by (46.9k points)
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Five workers take 12 days to weed a field. How many days would 6 workers take? How many would 15 take?

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by (47.6k points)
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Best answer

Let 6 workers take x days and 15 workers take y days to weed the field. 

The number of workers and the time required to weed the field are in inverse proportion. 

∴ 6 × x = 5 × 12 

∴ x = (5 x 12)/6

∴ x = 10 days

Also, 

15 × y = 5 × 12 

∴ y = (5 x 12)/15 

= 4 days 

∴ 6 workers will take 10 days and 15 workers will take 4 days to weed the field.

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