SOLUTION: 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?

Question 369135: 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?

Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!



Hi,

Let x represent the days it takes together

Amount done per day is the Equalizer

1/4 + 1/6 + 1/2 = 1/x 

Mulitplying both sides of the equation by 12x so as all denominators = 1

3x + 2x + 6x = 12

11x = 12

x = 12/11

x = 1.09 hrs 

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