SOLUTION: PLEASE ANSWER ASAP Michael can do a job in 8 hours while it takes Stephen 12 hours to do the same job. How long will it take them if they work together?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: PLEASE ANSWER ASAP Michael can do a job in 8 hours while it takes Stephen 12 hours to do the same job. How long will it take them if they work together?      Log On


   

Question 940345: PLEASE ANSWER ASAP Michael can do a job in 8 hours while it takes Stephen 12 hours to do the same job. How long will it take them if they work together?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Add their rates of working
( 1 job ) / ( 8 hrs ) + ( 1 job ) / ( 12 hrs ) = ( 1 job ) / ( t hrs )
+1%2F8+%2B+1%2F12+=+1%2Ft+
Multiply both sides by ++24t+
+3t+%2B+2t+=+24+
+5t+=+24+
+t+=+4.8+ hrs
and
+.8%2A60+=+48+ min
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Working together, it takes them 4 hrs 48 min