SOLUTION: If 12 men working 8 hours a day can construct a shed in 5 days, then in how many days will 8 men working 10 hours a day complete the same job?
How do I write this problem into a
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Question 993707: If 12 men working 8 hours a day can construct a shed in 5 days, then in how many days will 8 men working 10 hours a day complete the same job?
How do I write this problem into an equation and solve it
Found 2 solutions by LinnW, josmiceli:
Answer by LinnW(1048) (Show Source): You can put this solution on YOUR website!
12 men working (8 * 5) hours complete the job.
12 men working 40 hours to complete.
12* 40 = 480 man hours to complete.
480/(8 * 10) = days to complete, that is 480 man hours divided by man hours per day
480 /80 = 6 days to complete
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
You can call the shed-building time [ t = hrs x days ]
since that gives you the total time,
The rate of building 1 shed is:
[ 1 shed/t ]
-----------
Since this is the rate for men, I
divide by to get the rate for
man to build 1 shed
-------------------------
men will increase the rate to
Let = number of days men take
This is: [ rate ]x[ time ] = [ number of sheds ]
They take 6 days
-------------------
You can do it this way, too:
1/3 as many men take 3 times as long, so
4 men take 120 hrs
-------------------
Twice that many men take 1/2 as long, so
8 men take 60 hrs
-----------------
days
This is [ hrs / ( hrs/day ) ] = [ days ]
-------------------------------
This isn't exactly an equation,
but I think it gives some insight
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