Sixty-four men can complete a piece of work in 40 days. In how many days can 32 men complete the same piece of work?
Answers
Answer:
32-60 days. Because we don’t know if the same work can be parallelized for up to 75 men. For instance, maybe the 40 men are working in a factory with 4 conveyor belts, and only up to 10 people can stand around, use, and operate, each of the conveyor belt. This workforce is specifically designed for 40 people. Adding additional men to this system will only be useless, as the men will be trying to swap around each others tasks, which may lead to the same amount of time.
40 men can finish the work in 60 days
then
1 man can finish the work in 60*40 = 2400 days
75 men can finish the work in 2400/75
75 men can finish the same work in 32 days
Answer:
If 40 men can finish a piece of work in 60 days, in how many days will 75 men finish the same work?
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32-60 days. Because we don’t know if the same work can be parallelized for up to 75 men. For instance, maybe the 40 men are working in a factory with 4 conveyor belts, and only up to 10 people can stand around, use, and operate, each of the conveyor belt. This workforce is specifically designed for 40 people. Adding additional men to this system will only be useless, as the men will be trying to swap around each others tasks, which may lead to the same amount of time.
Also consider the Pareto principle (known as the 80/20 rule) which is observed in may events, it states that, for many events, roughly 80% of the effects come from 20% of the causes.[1] So in some workforces, 80% of the work, is only coming from 20% of the workers. So almost doubling the amount of workers, may not nessasrly half the amount of time to do the work, espicially if you increase the number of workers too quickly.
Only in a perfect world would increasing the number of workers to 75 men would result in 32 days of work. But this will almost never be the case and should be considered if you are hiring the additional workers.