SOLUTION: If John can type a paper in 5 hours and together he and Jim can type it in 2 hours. How long would it take Jim type the same?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: If John can type a paper in 5 hours and together he and Jim can type it in 2 hours. How long would it take Jim type the same?      Log On


   

Question 604102: If John can type a paper in 5 hours and together he and Jim can type it in 2 hours. How long would it take Jim type the same?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
John's rate of typing is +1%2F5+ papers/hours
Their rate together is +1%2F2+ papers/hours
Let +t+ = Jim's time to type 1 paper
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+1%2F5+%2B+1%2Ft+=+1%2F2+
Multiply both sides by +10t+
+2t+%2B+10+=+5t+
+3t+=+10+
+t+=+10%2F3+ hrs
+t+=+3+%2B+1%2F3+ hrs
+%281%2F3%29%2A60+=+20+ min
Jim takes 3 hrs and 20 min to type the paper