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?
:
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
{{{t/4}}} + {{{t/6}}} = 1
Multiplying by 12 gets rid of the denominators, results:
3t + 2t = 12
5t = 12
t = {{{12/5}}}
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!!)