SOLUTION: a man can complete a work in 5days another man can do the same work in 8days In how many days can the 2men complete a work?

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Question 477420: a man can complete a work in 5days another man can do the same work in 8days In how many days can the 2men complete a work?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Add their rates of working
Rate of 1st man = ( 1 job ) / ( 5 days )
Rate of 2nd man = ( 1 job ) / ( 8 days )
Let x = the number of days that both men
working together take to do job
---------------
+1%2F5+%2B+1%2F8+=+1%2Fx+
Multiply both sides by +40x+
+8x+%2B+5x+=+40+
+13x+=+40+
x+=+3.077+
They can do the job in just over 3 days