# 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?

##### 1 Answer

They could complete the job together in

#### Explanation:

Sam: 4 days

Lisa: 6 days

Tom: 2 days

This is a "rate" problem. The rate is jobs per day, or job/day.

Sam's rate is one job completed in 4 days, or

Lisa's rate is one job completed in 6 days, or

Tom's rate is one job completed in 2 days, or

Together, they could complete

We are trying to find the rate at which Sam, Lisa and Tom could complete the job together, or one job in

The least common denominator is

Multiplying through by the LCD gives: