# SOLUTION: Ho long will it take 6 workers to complete a task, give that 7 workers can complete the same task in 12 days

Algebra ->  Algebra  -> Rate-of-work-word-problems -> SOLUTION: Ho long will it take 6 workers to complete a task, give that 7 workers can complete the same task in 12 days      Log On

 Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Word Problems: Rate of work, PAINTING, Pool Filling Solvers Lessons Answers archive Quiz In Depth

 Question 414469: Ho long will it take 6 workers to complete a task, give that 7 workers can complete the same task in 12 daysFound 3 solutions by solver91311, Edwin McCravy, stanbon:Answer by solver91311(16897)   (Show Source): You can put this solution on YOUR website! If 7 workers can do the task in 12 days, then 1 worker should be able to complete the task in 7 times 12 days. Then 6 workers should be able to complete the task in (7 times 12) divided by 6 days. John My calculator said it, I believe it, that settles it Answer by Edwin McCravy(8909)   (Show Source): You can put this solution on YOUR website!Ho long will it take 6 workers to complete a task, give that 7 workers can complete the same task in 12 days  Since 7 workers can complete the task in 12 days, it would take one worker 7 times that long, and 7x12 = 84, so it would take one worker 84 days. It will take 6 workers only 1/6 as long as it would take one worker, and 1/6 of 84 is 14. So it will take 6 workers 14 days to complete the task. Edwin Answer by stanbon(57387)   (Show Source): You can put this solution on YOUR website!Ho long will it take 6 workers to complete a task, give that 7 workers can complete the same task in 12 days ------- # of workers and time to complete the task are indirectly related. t = k/# of men --- Solve for "k" using "7 workers can complete the task in 12 days": 12 = k/7 k = 84 ---- Equation: t = 84/# of men ---- Solve "How long will it take 6 workers to complete the task?" t = 84/6 time = 14 days ====================== Cheers, Stan H. ===============