SOLUTION: 30 men can do a work in 36 days. After 30 days more men are employed and work is done 2 days before . Find no of more men employed? Option are:18,15,16,14

Algebra ->  Rate-of-work-word-problems -> SOLUTION: 30 men can do a work in 36 days. After 30 days more men are employed and work is done 2 days before . Find no of more men employed? Option are:18,15,16,14      Log On


   



Question 779623: 30 men can do a work in 36 days. After 30 days more men are employed and work is done 2 days before . Find no of more men employed?
Option are:18,15,16,14

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
What fraction of the work gets done in 30 days?
( 30 days ) / ( 36 days ) = +5%2F6+ gets done
That leaves +1%2F6+ left to do
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So, there are +6+ days left to do +1%2F6+
of the job
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+1%2F6+ of the job actually gets done in +6+-+2+=+4+ days
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+30+ men can do a work in +36+ days.
+1+ man can do the work in +30%2A36+=+1080+ days
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Let +n+ = number of men needed to do +1%2F6+
of the job in +4+ days
+n%28+1%2F1080+%29+=+%28+1%2F6+%29+%2F+4+
+n%2F1080+=+1%2F24+
+n+=+1080%2F24+
+n+=+45+
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There are already +30+ men working, so
+45+-+30+=+15+ more men are needed