SOLUTION: Jan can deliver the mail in 4 hours. It takes Marcia 6 hours to complete the same route. How long would it take to deliver the mail if they worked together?

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Question 774918: Jan can deliver the mail in 4 hours. It takes Marcia 6 hours to complete the same route. How long would it take to deliver the mail if they worked together?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Jan's rate of delivering main:
( 1 mail route ) / ( 4 hrs )
Marcia's rate of delivering mail:
( 1 mail route ) / ( 6 hrs )
---------------------
Add their rates to ge rate working together
Let +t+ = time in hrs working togther
+1%2F4+%2B+1%2F6+=+1%2Ft+
Multiply both sides by +12t+%7D%7D%0D%0A%7B%7B%7B+3t+%2B+2t++=+12+
+5t+=+12+
+t+=+12%2F5+=+2.4+ hrs
+.4%2A60+=+24+
Working together, it will take them
2 hrs and 24 min