Question

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

Answer 1

5 workers can finish the work of field in 12 days

then 1 worker will complete the work

in = 5 × 12 = 60 days


6 workers will complete the work

in = 60 ÷ 6 = 10 days


15 workers will complete the work

in = 60 ÷ 15 = 4 days


Answer:
________

6 workers would take 10days and 15 workers would take 4 days .

Answer 2

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

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

therefore, 5 × 12 = 15 × y

=> y = 60/5

=> y = 4 days

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