SOLUTION: Mudog can do 8 jobs in 3 days, and jimmy can do 5 jobs in 2 days. Thirty nine jobs need to be done. Mudog works 3 days and then jimmy joins in. How many days will both of them have

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Mudog can do 8 jobs in 3 days, and jimmy can do 5 jobs in 2 days. Thirty nine jobs need to be done. Mudog works 3 days and then jimmy joins in. How many days will both of them have      Log On


   

Question 961502: Mudog can do 8 jobs in 3 days, and jimmy can do 5 jobs in 2 days. Thirty nine jobs need to be done. Mudog works 3 days and then jimmy joins in. How many days will both of them have to work together to complete the 39 jobs?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Mudog's rate of working is:
+8%2F3+ jobs / days
Jimmy's rate of working is:
+5%2F2+ jobs/days
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Let +x+ = the number of jobs
Mudog gets done in +3+ days
+x+=+%28+8%2F3+%29%2A3+
+x+=+8+
There are +31+ jobs left to do
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With both working together:
+8%2F3+%2B+5%2F2+=+31%2Ft+
Multiply both sides by +6t+
+16t+%2B+15t+=+186+
+31t+=+186+
+t+=+6+
They would have to work together for
6 more days to complete all the 39 jobs