SOLUTION: Three workers can do a job in 12 days. Two of the workers work twice as fast as the third. How long would it take one of the faster workers to do the job alone?

Question 801748: Three workers can do a job in 12 days. Two of the workers work twice as fast as the third.
How long would it take one of the faster workers to do the job alone?
Answer by josgarithmetic(39615) (Show Source): You can put this solution on YOUR website!
Examine the rates of each worker. You have one slow worker and two fast workers. The slow worker needs 2d days to do one job, so is this slow worker rate. The fast workers each could do one job in d days, so each of his rate is job per day. The three workers acting together have the rate jobs per day.

Using the original description, first sentence, and the rate expressions of the three workers, formulate the equation for these three workers when acting together:

since each rate adds simply. Solve for d. This will be how many days working alone one fast worker can do this 1 job.
RELATED QUESTIONS
Two workers finished a job in 7.5 days. How long would it take each worker to do the job... (answered by ankor@dixie-net.com)

If M workers can do a job in D days, how long would it take 40 workers to do the same... (answered by ptaylor)

3 workers can do a job in 36 days. How long would it take 2 workers to finish the same... (answered by macston,Edwin McCravy)

three men do a job in 12 days.Two of the men work twice as fast as third.How long will it (answered by richwmiller)

three men do a job in 12 days.Two of the men work twice ass fast as third.How long will... (answered by ankor@dixie-net.com)

Ten workers could do the job in 12 days. If 8 workers worked for 5 days and then half of... (answered by ankor@dixie-net.com)

If the time (T) it takes to plant rice in an acre varies inversely as the number of farm... (answered by josgarithmetic)

It takes 20 workers a total of 30 days to pave a highway. How many days would it take 15... (answered by josgarithmetic,askhari139)

Three workers have to do a certain job. The first worker can finish the job in 8 hours.... (answered by ikleyn,greenestamps)