Question 148602
If Sam can do a job in 4 days, that Lisa can do in 6 days, and Tom can do in 2 days, how long would the job take if Sam, Lisa, and Tom worked together to complete it?
;
Let x = time required when all work together
:
Let the completed job = 1
:
{{{x/4}}} + {{{x/6}}} + {{{x/2}}} = 1
Multiply equation by 12 and you have::
3x = 2x + 6x = 12
:
11x = 12
x = {{{12/11}}}
x = 1.09 days