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.