Question 1071576
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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?  
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Alan's rate is  {{{7/3}}}  chocolates per minute.
Anil's rate is  {{{11/4}}}  chocolates per minute.

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

Then the governing equation is

{{{(7/3 + 11/4)*t}}} = {{{45 - 2*(7/3)}}}.

Simplify and solve for t.

{{{(28/12 + 33/12)*t}}} = {{{(135-14)/3}}},

{{{(61/12)*t}}} = {{{121/3}}}   --->   {{{(61/4)*t}}} = 121  --->  t = {{{(121*4)/61}}} = 7.93442623 minutes.
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