SOLUTION: Lorenzo, a gardener, can mow a lawn in 3hours. After 2 hours it rained and he stopped moving the lawn. In the afternoon. Tina, completed the rest of the work in one hour and 30 min

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Question 939417: Lorenzo, a gardener, can mow a lawn in 3hours. After 2 hours it rained and he stopped moving the lawn. In the afternoon. Tina, completed the rest of the work in one hour and 30 minutes. How long would it take Tina to mow the lawn by herself?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Lorenzo's rate of mowing is:
( 1 lawn ) / ( 3 hrs )
In +2+ hrs, he mows +%281%2F3+%29%2A2+=+2%2F3+
of the lawn
That means there id +1%2F3+ of the lawn left to mow
---------------
Tina finishes mowing, so her rate is:
( 1/3 of the lawn ) / ( 1.5 hrs )
I can say:
Let +t+ = her time in hrs to mow lawn by herself
+%28%281%2F3%29%29+%2F+1.5+=+1+%2F+t+
Multiply both sides by +1.5t+
+%281%2F3%29%2At+=+1.5+
+t+=+4.5+
Tina can mow the lawn y herself in 4.5 hrs