SOLUTION: Alan could eat 7 chocolates in 3 minutes and Anil could eat 11 chocolates in 4 minutes. How many minutes would it take them to consume 45 chocolates if Alan started eating 2 minute

Question 1071576: Alan could eat 7 chocolates in 3 minutes and Anil could eat 11 chocolates in 4 minutes. How many minutes would it take them to consume 45 chocolates if Alan started eating 2 minutes before Anil joined in?
Answer by ikleyn(52797) (Show Source): You can put this solution on YOUR website!
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Alan could eat 7 chocolates in 3 minutes and Anil could eat 11 chocolates in 4 minutes.
How many minutes would it take them to consume 45 chocolates if Alan started eating 2 minutes before Anil joined in?
~~~~~~~~~~~~~~~~~~~

Alan's rate is    chocolates per minute.
Anil's rate is    chocolates per minute.

Let t be the time counting from the time moment Anil joined Alan.

Then the governing equation is

 = .

Simplify and solve for t.

 = ,

 =    --->    = 121  --->  t =  = 7.93442623 minutes.

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