SOLUTION: When Tim and John work together they can mow their entire lawn in 4 hours and 36 minutes. John can mow the entire lawn by himself in 9 hours. How long will it take Tim to mow the e

Algebra ->  Rate-of-work-word-problems -> SOLUTION: When Tim and John work together they can mow their entire lawn in 4 hours and 36 minutes. John can mow the entire lawn by himself in 9 hours. How long will it take Tim to mow the e      Log On


   

Question 566530: When Tim and John work together they can mow their entire lawn in 4 hours and 36 minutes. John can mow the entire lawn by himself in 9 hours. How long will it take Tim to mow the entire lawn by himself?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Add their rates of mowing to get rate working together
John's rate: ( 1 lawn ) / ( 9 hrs )
Rate working together: ( 1 lawn ) / ( 4.6 hrs )
Let +t+ = Tim's time in hrs to mow lawn by himself
Tim's rate: ( 1 lawn ) / ( t hrs )
-------------------------
+1%2F9+%2B+1%2Ft+=+1%2F4.6+
Multiply both sides by +4.6%2A9%2At+
+4.6t+%2B+4.6%2A9+=+9t+
+9t+-+4.6t+=+4.6%2A9+
+4.4t+=+4.6%2A9+
+t+=+%28+4.6%2A9+%29+%2F+4.4+ hrs
Use calculator to solve