Question 82982
one grocery clerk can stock a shelf in 20min whereas a second clerk requires 30min to stock the same shelf. how long would it take to stock the shelf if two clerks worked together?
:
Let x = time required if both worked together:
Let the completed job = 1
:
{{{x/20)}}} + {{{x/30}}} = 1
:
Multiply equation by 60 and you have:
3x + 2x = 60
5x = 60
x = 60/5
x = 12 minutes, work together
:
:
Check solution
12/20 + 12/30 =
6/10 + 4/10 = 1