SOLUTION: Mark working alone can do 2 jobs in m hours, and Bob working alone can do 2 jobs in b hours. How long will it take Mark and Bob to do one job if they work together?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Mark working alone can do 2 jobs in m hours, and Bob working alone can do 2 jobs in b hours. How long will it take Mark and Bob to do one job if they work together?       Log On


   



Question 1091243: Mark working alone can do 2 jobs in m hours, and Bob working alone can do 2 jobs in b hours. How long will it take Mark and Bob to do one job if they work together?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Mark's rate is +2%2Fm+
Bob's rate is +2%2Fb++
Add their individual rates to get
their rate working together
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Let +t+ = their time in hrs to do 1 job working together
+2%2Fm+%2B+2%2Fb+=+1%2Ft+
Multiply both sides by +m%2Ab%2At+
+2%2Ab%2At+%2B+2%2Am%2At+=+m%2Ab+
+%28+2b+%2B+2m+%29%2At+=+m%2Ab+
+t+=+%28+m%2Ab+%29%2F%28+2b+%2B+2m+%29+