SOLUTION: An employer employees 28 men to complete a work in 30 days. 40% of work has been completed in 16 days. How many more men required to complete the remaining work.

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Question 803783: An employer employees 28 men to complete a work in 30 days. 40% of work has been completed in 16 days. How many more men required to complete the remaining work.
Answer by ankor@dixie-net.com(22740) (Show Source):
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An employer employs 28 men to complete a work in 30 days.
40% of work has been completed in 16 days.
How many more men required to complete the remaining work.
:
Find how many man-days required to complete 40% of the job
28 * 16 = 448 man-days
At this rate find how many man-days (md)required to complete the job\
.4md = 448
md = 448/.4
md = 1120 man-days to complete the job
therefore
1120 - 448 = 672 man-days to do the remaining 60% in 14 days
Find the no. of men required
672/14 = 48 total men
48 - 28 = 20 more men to finish the job on time
:
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Response to student who said,"I don't understand how 28*16=1120 becomes 100% of work. "
:
I said that 28 * 16 = 448 man-days represents 40& of work. So from this we can
find how many man-days for 100%
40% of the total man-days = 448
which is
.40md = 448
Find md
md = 448/.4
md = 1120 man-days for 100% of the work