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

Algebra ->  Rate-of-work-word-problems -> 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      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
.
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  7%2F3  chocolates per minute.
Anil's rate is  11%2F4  chocolates per minute.

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

Then the governing equation is

%287%2F3+%2B+11%2F4%29%2At = 45+-+2%2A%287%2F3%29.

Simplify and solve for t.

%2828%2F12+%2B+33%2F12%29%2At = %28135-14%29%2F3,

%2861%2F12%29%2At = 121%2F3   --->   %2861%2F4%29%2At = 121  --->  t = %28121%2A4%29%2F61 = 7.93442623 minutes.