Final Answer:
If Chintu and Mini together can dig a hole in 4 hours, and Mini alone can do the same work in 4 hours, then it will take Chintu 8 hours to complete the work alone.
Step-by-step explanation:
In tackling the scenario where Chintu and Mini collaboratively complete a task in 4 hours, with Mini accomplishing the same work independently in 4 hours, we aim to determine how long it would take Chintu to complete the task alone. Employing algebraic reasoning, we set up an equation to represent the given information and subsequently solve for the time it takes Chintu individually. The outcome reveals that Chintu would require 8 hours to independently dig the hole.
Suppose Chintu can dig the hole alone in x hours. We can set up the following equation to represent the given information:
1/x + 1/4 = 1/4
Solving for x, we get:
x = 8
Therefore, it will take Chintu 8 hours to dig the hole alone.