Question

Six men can complete a work in 12 days. Two days later, 6 more men joined them. How many days will they take to complete the remaining work?

Answer 1

	Number of men	No. of days
Initially	6	12
2 days later available work	6	12 − 2 = 10
Remaining work after 6 men joined	6 + 6 = 12	x

As the number of men increases the number of days decreases.

∴ They are inversely proportional

x₁y₁ = x₂y₂

6 × 10 = 12 × x

x = `(6 xx 10)/12`

x = 5 days

∴ Remaining work will be complete in 5 days