Question

Five workers take 12 days to weed a field. How many days would 6 workers take? How many would 15 take?

Answer 1

Let us suppose 6 workers will take x days to weed a field. 

As the number of workers increases, the number of days decreases.

So, the number of workers and number of days are in inverse proportion.

∴ 5 × 12 = 6 × x

⇒ x = `60/6`

⇒ x = 10 days

Let us suppose 15 workers will take y days to weed a field.

∴ 5 × 12 = 15 × y

⇒ y = `60/15`

⇒ y = 4 days

Hence, 6 workers will take 10 days, while 15 workers will take 4 days to weed a field.