Question

5. 35 workers are employed to complete a construction
project in 16 days. Before the project starts, the boss
of the company is told that he needs to complete
the project in 14 days. Assuming that all the workers
work at the same rate, how many more workers does
he need to employ in order to complete the project
on time?
Answer??!!?

Answer 1

Answer:

Step-by-step explanation:

Example: A project can be completed by 150 workers in 40 days. But the project manager brought in 30 more workers after 16 days. In how many days will the remaining work be finished?

Solution: (Number of workers is inversely proportional to the working days)

Number of workers = 150

150 workers can finish the work in = 40 days

Remaining days available = 40 days - 16 days = 24 days

Total workers now = 150 + 30 = 180 workers

Suppose that 180 workers the work in x days.

Workers      Days

150  |       /|\ 24 *************************

180 \|/       |  x

150/180 = x/24

180x = 150*24

x = (150*24)/180 = 20 days

Hence 180 workers will finish the work in 20 days

WHAT I DON'T UNDERSTAND:

I don't agree to the assumption that 150 workers are completing it in 24 days. What is the link between the ability of 150 workers to *normally* finish the project in 40 days (which is the given information in the question) with the introduction of 30 more workers in this particular scenerio ?

I think their introduction after the first 16 days, as well as the remaining part of the work, is irrelevant to the problem we are solving, simply because they have not metioned anything about the amount of work. So we are not thinking about it all.

I think the question is more like "if 150 workers finish normally finish this work in 40 days, how many days will 180 workers take"?

I think the solution should be based on:

Workers      Days

 150  |      /|\ 40 **************************