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Question 337001: At 10 AM, Francisco is asked by his uncle to weed the garden. From past experience, Francisco knows that this will take him 4 hours, working alone. His older cousin, Rodrigo, when it is his turn to do this job, requires 6 hours. Since Rodrigo wants to go see the game with Francisco and have already bought the tickets for the game a 1 PM, he agrees to help Francisco. Assuming no gain or loss of efficiency, when will they finish if they work together? Can they make it to the game after doing the assignment?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! At 10 AM, Francisco is asked by his uncle to weed the garden.
From past experience, Francisco knows that this will take him 4 hours, working alone.
His older cousin, Rodrigo, when it is his turn to do this job, requires 6 hours.
Since Rodrigo wants to go see the game with Francisco and have already bought
the tickets for the game a 1 PM, he agrees to help Francisco.
Assuming no gain or loss of efficiency, when will they finish if they work together?
Can they make it to the game after doing the assignment?
:
This is shared work problem
:
Let t = time required to do the job when working together
Let the completed job = 1 (a weed-free garden)
:
Each will do a fraction of the job, the two fractions add up to 1
 +  = 1
Multiplying by 12 gets rid of the denominators, results:
3t + 2t = 12
5t = 12
t = 
t = 2.4 hrs, since it is 3 hrs until game time, they may be able to make it.
:
(Forget the shower and drive fast!!)
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