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?
I'm confused as to how to work the problem, I don't just want an answer.

Question

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? 
I'm confused as to how to work the problem, I don't just want an answer.

anonymous · Answer

x((1/4) + (1/6) + (1/2)) = 1
x = 12/11
A bit more than one day.

anonymous · Answer

$$(\frac{1}{4}+\frac{1}{6}+\frac{1}{2})t=1$$ solve for t

saifoo.khan · Answer

$$\Huge \frac{1}{4} + \frac{1}{6} + \frac{1}{2} = \frac{1}{x}$$

anonymous · Answer

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anonymous · Answer

sattelite can u take a look at mine

kinggeorge · Answer

1/4 + 1/6 + 1/2 = 1/x where the three terms are the amount of work each person can do in a day.

saifoo.khan · Answer

Satelllllliteeee!

anonymous · Answer

$$\frac{11}{12}t=1$$
$$t=\frac{12}{11}$$ what pk said

anonymous · Answer

12/11 days

anonymous · Answer

Thanks!

saifoo.khan · Answer

$$\Huge \color\red {\frac{12}{11}}$$