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Question 1150533: if it takes 6 days for 6 workers to build a garage, how long would it take 9 workers?
Found 3 solutions by Edwin McCravy, ikleyn, greenestamps:
Answer by Edwin McCravy(20054)   (Show Source):
You can put this solution on YOUR website! if it takes 6 days for 6 workers to build a garage, how long would it take 9 workers?
We have 6 workers the first time and 9 workers the second time.
The least common multiple of 6 workers and 9 workers is 18 workers.
if it takes 6 days for 6 workers to build a garage, then what about 18 workers?
They would work 3 times as fast so it would take them only 1/3 as long as it
took 6 workers, or only 2 hours.
So if it takes 18 workers 2 hours to build a garage, then 9 workers would take
twice as long, so it would take them 4 hours.
Edwin
Answer by ikleyn(52777)  (Show Source):
You can put this solution on YOUR website! .
The entire job is 6*6 = 36 worker-days (man-days, as it was called long time ago . . . ).
Therefore, 9 workers will complete this job in  = 4 days. ANSWER
ANSWER. 9 workers will complete this job in 4 days.
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I remember, we solved such problems when I was at my 4-th or 5-th grade class.
All the students loved this type of problems, because EVERYBODY knew how to solve them.
So, ignore explanations from Edwin (with his Least Common Multiplies - they are IRRELEVANT),
and use the mantra from my post . . .
/\/\/\/\/\/\/\
After reading the post by @greenestamps.
Yes, you can use the method these two gentlemen propose you.
But it is the same, as to fly from Chicago to Indianapolis with intermediate landing in Denver.
The way I propose in my post is the standard direct straightforward shortest Algebra way for this type of problems.
Answer by greenestamps(13198)  (Show Source):
You can put this solution on YOUR website!
You would do well to ignore the proclamation by tutor @ikleyn about her mantra.
Find your own mantra.
The solution method shown by tutor @edwin is perfectly valid. You might find it is more to your liking than hers.
In my opinion, her use of man-days is "irrelevant"....
9 workers is 3/2 times as many as 6 workers; the amount of time required is going to be 2/3 as much. 2/3 of 6 days is 4 days.
Again, ignore anybody who tells you a particular method of solving a problem is wrong.
Keep your mind open and find a solution method that YOU like.
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