Question

A construction team gives an estimate of three months to repave a large stretch of a very busy road with their core crew of 15 people. The government responds that it is too much of an inconvenience to have this busy road obstructed for three months, so the job must be completed in one month.
If the relationship between construction time and crew members is inversely proportional, how many crew members does the construction team need if they are to complete the job in one month?

Express your answer as an integer.

Answer 1

Crew members that the construction team need if they are to complete the job in one month is 45.

Explanation:

The estimated amount of months to repave the road = 3 months.

The workers for 3 months =15.

We are given that the months is inversely proportional to the amount of workers.

i.e. Time ∝ workers.

⇒ Time = $\frac{k}{workers}$.

where k is the constant value.

3 months ∝ 15 workers.

3 months = $\frac{k}{15 workers}$.

k=45.

We need to find the amount of workers need for 1 month.

Consider the amount of workers to be found is x.

The 1 month= $\frac{k}{x} .$

1 month = $\frac{45}{x}$.

x=$\frac{45}{1}$ per month.

∴ The amount of workers need for a month to complete the works is 45.

Answer 2

The number of crew members does the construction team need  is 45.

Given that,

• A construction team gives an estimate of three months to repave a large stretch of a very busy road with their core crew of 15 people.

The calculation is as follows:

= Number of people × number of months

$= 15\times 3$

= 45

Learn more: https://brainly.com/question/9122916?referrer=searchResults