The # of days needed to harvest a field varies inversely with the # of ppl harvesting the field. If it takes 24 days for 8 ppl to harvest the field, how many days would it take for 10 ppl to harvest?

Answer 1

Let's assign some variables first:

d = # of days needed to harvest

p = # of people harvesting

When the dealing with the inverse relationship we have the following equation:

y = k/x where "k" is a constant that we need to solve for

We will say y is our "d" variable and x is our "p" variable:

d = k / p

Now, we know that when d = 24, p = 8. We can plug these numbers into our equation to solve for our constant:

24 = k / 8

24 * 8 = k

192 = k

So now our equation is:

d = 192 / p

We now use this equation to see how long it takes 10 people to harvest:

d = 192 / 10

d = 19.2 days