paper route

Question

candy and tim share a paper route. it takes candy 54 minutes to deliver all of the papers whereas tim takes 108 minutes. how long does it take them when they work together

Answer 1

Mitchell,

 

Candy's rate is 1/54

Tim's rate is 1/108

 

  1         1          1

----  + ----  =  -----

 54      108        x

 

108 + 54       1

----------  =  ---

(108)(54)      x

 

162x = (108)(54)

 

x = 108(54)/162 = 36

 

Together they will deliver papers in 36 minutes.