SOLUTION: Please help me and provide explanation to further understand.
A construction project must be completed in 15 days. Twenty-five workers did one-half of the job in 10 days. How ma
Algebra ->
Polynomials-and-rational-expressions
-> SOLUTION: Please help me and provide explanation to further understand.
A construction project must be completed in 15 days. Twenty-five workers did one-half of the job in 10 days. How ma
Log On
Question 769627: Please help me and provide explanation to further understand.
A construction project must be completed in 15 days. Twenty-five workers did one-half of the job in 10 days. How many workers are needed to complete the job on schedule? Found 2 solutions by ramkikk66, stanbon:Answer by ramkikk66(644) (Show Source):
25 workers completed half the work in 10 days.
Therefore total work = 25 people for 20 days = 500 "person-days" of work.
(To explain, a "person-day" is the unit of work 1 person can complete in 1 day.
So if you have more people, you can complete more person-days of work. If you
have less people, you need to work longer (more "days") to complete the same
person-days" of work.)
Another 250 person-days of work needs to be completed.
But since it needs to be completed in 15 days totally, and 10 days are already
over, this remaining work needs to be completed in 5 days.
i.e. 250 person-days of work needs to be completed in 5 days.
So how many persons do you need? 250 person-days/5 days = 50 people.
Need to add 25 more workers.
Hope you got it :)
You can put this solution on YOUR website! A construction project must be completed in 15 days. Twenty-five workers did one-half of the job in 10 days. How many workers are needed to complete the job on schedule?
---------------
# of workers and # of days are inversely related.
----
Note:: "The job" is really (1/2) of the job.
----
n = k/d
--------
25 = k/10
---
k = 250
-----
Equation:
n = 250/d
n = 250/5
n = 50 (# of workers to complete 1/2 the job in 5 days)
================
Cheers,
Stan H.
================