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While solving problems of “Time and Work”, which are a de rigueur in every management examination, the concept of variation is very useful.
DIRECT VARIATION
A) If the work (W) increases, then the number of men (M) required to complete the work in the same time also increases.
B) If the work (W) increases, then the number of days (D) required to complete the work (W) also increases, provided the number of men remains the same.
INVERSE VARIATION
A) If the number of men (M) increases, then the number of hours per day (H) required to do the work decreases, provided the number of days and the number of men are the same.
B) If the number of men (M) increases, the number of days (D) required to complete the work decreases provided the volume of work (W) is the same.
From the above, we derive the fundamental equation of Time and Work:
Incase individual efficiencies are given, i.e., Amount of work that can be completed in 1 day is different in the 2 cases, then,
In the next blog, we shall understand the concept of and application of positive and negative work.