Question

4 men can make 4 cupboards in 4 days in 4 days; how many cupboards can 14 men make in 14 days

Answer 1

Since 4 men can make 4 cupboards in 4 days, four men will be able to make 1 cupboard in 1 day.
We can now say that one man will be able to make a quarter (i.e. 1/4) cupboard in one day.

Hence 14 men will be able to make 1/4 × 14 cupboards in 1 day.
We can safely say that 14 men will be able to make 1/4 × 14 × 14 cupboards in 14 days.

Solving this we get 49.

So our answer is 49 cupboards.

Answer 2

Answer

In 4days 4men make 4cupboards

In 1 day 4men make 4/4cupboard

In 1 day 1 man make 4/4×4 cupboard

In 1 day 14 men make 4×14/4×4 cupboards

In 14 days 14 men make 4×14×14/4×4 cupboards = 49