SOLUTION: If it takes 4 workers, 4 hours to dig 4 holes, how long would it take 2 workers to dig 6 holes?

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Question 978268: If it takes 4 workers, 4 hours to dig 4 holes, how long would it take 2 workers to dig 6 holes?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Uniform rate for doing a task:
RT=J to relate rate, time, amount of task or job.

Agents doing work together form an additive rate. 4 workers, rate is 4R. n workers, rate is nR.

Let r be one-worker rate, and t be the unknown time for 2 workers together.
system%284r%2A4=4%2C2%2Ar%2At=6%29

Solve the system, with the main goal to find value for t.