SOLUTION: It takes 10 working days for 15men to finish a painting job in certain warehouse. If there were 10 painters available and 5 of them could only work for half-day, how many days will
Algebra ->
Rate-of-work-word-problems
-> SOLUTION: It takes 10 working days for 15men to finish a painting job in certain warehouse. If there were 10 painters available and 5 of them could only work for half-day, how many days will
Log On
Question 615713: It takes 10 working days for 15men to finish a painting job in certain warehouse. If there were 10 painters available and 5 of them could only work for half-day, how many days will it take to finish the job? Found 2 solutions by stanbon, Edwin McCravy:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! It takes 10 working days for 15 men to finish a painting job in certain warehouse. If there were 10 painters available and 5 of them could only work for half-day, how many days will it take to finish the job?
---
Job takes 10*15 = 150 man-days
5 full-time painters can do 5x man-days of the job
5 (1/2)-time painters can do (5/2)x man-days of the job
-----------------
Equation:
5x + (5/2)x = 150 man-days
(15/2)x = 150 man-days
x = 300/15 = 20 days total time to do the job
=============
Cheers,
Stan H.
===============
Simplest way:
The 5 workers working half days is the same as 2.5 workers working full days,
so it's the same as having 7.5 workers.
Since 7.5 workers is exactly half of 15 workers, it will take them twice as
long as it takes 15 workers, or 20 days.
Edwin
(