Maths-
General
Easy

Question

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

Hint:

Hint:
In a proportional relationship, the variables are related by a constant ratio(k). For example, the equation which can relate the two variables can be written in the form:
y = (constant) cross times x or y = k cross times x.
So, for solving these types of questions we need to create a proportional relationship between the variables. These relationships can be direct, inverse etc.

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 = k over x  ……..(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 over 8
    k = 12 cross times 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 = k over 6
    Now, put the value of k = 96
    m = 96 over 6
    m = 16 men
    Final Answer:
    Hence, 16 men can dig the pond in 6 days.

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