Question

10 farmers can plough a field in 21 days. Find the number of days reduced if 14 farmers ploughed the same field?

Answer 1

Let the required number of days if 14 farmers ploughed = x

Number of days	21	x
Number of farmers	10	14

As number of farmers increases, number of days decreases.

∴ They are in inverse proportion

x₁y₁ = x₂y₂

21 × 10 = x × 14

x = `(21 xx 10)/14`

 x = 15

Initially the farmers worked for 21 days.

Now they worked for 15 days.

∴ The number of days reduced = 21 – 15 = 6 days