Question

Which of the following quantities are inversely proportional?

The amount of time spent plowing a 600-acre farm and the number of identical tractors
Help PLz

Answer 1

No of tractors and Time

Explanation:

Let us suppose that There is only 1 tractor and it take 1 hour to plow 100 acre of farm then it will take 6 hour to completely plow the farm

Now let us suppose that we have 2 tractors Now each tractor will plow 100 acre in 1 hour so they will completely plow the field in 3 hours

In this way if wee keep on increasing the No of Tractors then it will take less time for us to plow the field

In the Form of equation it could be represented as

Let No of tractors represented by trac and time by x

then

trac ∝
`(1)/(x)`

trac = constant *
`(1)/(x)`

here the constant value is land to be plowed which is 600 acres

so

trac = 600 acres *
`(1)/(x)`