If 32 men can reap a field in 15 days, in how many days can 20 men reap the same field?

The correct answer is: 24 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 32 men can reap a field in 15 days i.e. x = 15 and y = 32. Putting the values in equation (1)
32 = 
k = 32  15  = 480
Step 2 of 2:
Now we are asked to find the number of days taken by 20 men. Let the number of days be “d”. So, x = d and y = 20. Putting the values in equation (1)
20 = 
Now, put the value of k = 480
20 = 
d = 
d = 24 days
Final Answer:
Hence, the number of days taken by 20 men to reap the field are 24 days.