12 men can dig a pond in 8 days. How many men can dig it in 6 days?

The correct answer is: 6 days.

Let the number of days be represented as x and the number of men be represented as y. The number of men will increase if the number of days are decreased so we can conclude that y is in inverse relationship with x. Let’s say the proportional relationship is given as
y =   ……..(1)
Step 1 of 2:
It is given that 12 men can dig a pond in 8 days i.e. x = 8 and y = 12. Putting the values in equation (1)
12 = 
k = 12  8  = 96
Step 2 of 2:
Now we are asked to find the number of men if 6 days are taken by them. Let the number of men be “m”. So, x = 6 and y = m. Putting the values in equation (1)
m = 
Now, put the value of k = 96
m = 
m = 16 men
Final Answer:
Hence, 16 men can dig the pond in 6 days.