if 4 people can do a piece of work in 16 days working 5hours each day .in how many day will the same wory be completed by 20 people working 4hours each day?
Answers
Answer:
4 days
Step-by-step explanation:
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Answer:
It depends, not all work is equal.
The standard example is to simply swap out work with children: If 1 woman can produce 1 child in 9 months, it will still take 9 months for a child to be produced, even if 3 women are involved (though, then you’d get 3 children).
Intellectual work (ex. software engineering) is one such labor that is not simply a product of Man-Months.
Obviously, simple, physical labor is often able to be done as a product of people’s labor-time.
And, of course, if this were a problem for a 4rd grade math class, then the answer would be 4 days.
4 (people) * 5 (hours/day) * 16 (days) = 4 (people) * (5 * 16) ((hours * days) / days)
4 (people) * 80 (hours) = 320 (people-hours)
20 (people) * 4 (hours/day) * X (days) = 20 (people) * (4 * X) ((hours * days) / days)
80 * X (people-hours)
320 = 80 * X
320 / 80 = X
32 / 8 = X
X = 4