Question

Can you solve this Riddle?If 5 men takes around 3 hours to dig 3 holes, how long will it take for 3 men to dig half a hole.

Answer 1

Let us assume that digging of 1 whole as doing 1 unit of work.

It is given that 5 men will do 3 units of work in 3 hours.

Therefore, 5 men will do 1 unit of work in 1 hour.

Therefore, 1 men will do $\frac{1}{5}$ unit of work in 1 hour

So, 3 men will do  $\frac{3}{5}$ unit of work in 1 hour.

So, 3 men will do $\frac{3}{5} \times \frac{5}{3} = 1$ unit of work in $1 \times \frac{5}{3}$ hours.

Therefore, 3 men will dig 1 hole in $\frac{5}{3}$ hours.

Therefore, 3 men will dig half a whole in $\frac{5}{3} \times \frac{1}{2}=\frac{5}{6}$ hour that is 50 minutes.

Therefore, 3 men will dig half a hole in 50 minutes.