SOLUTION: The time it takes to complete a certain job varies inversely as the number of people working on that job. If it takes 40 hours for 14 carpenters to frame a house, then how long wil

Algebra ->  Rate-of-work-word-problems -> SOLUTION: The time it takes to complete a certain job varies inversely as the number of people working on that job. If it takes 40 hours for 14 carpenters to frame a house, then how long wil      Log On


   



Question 756575: The time it takes to complete a certain job varies inversely as the number of people working on that job. If it takes 40 hours for 14 carpenters to frame a house, then how long will it take 34 carpenters to do the same job? Round to the nearest tenth.
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
How much time for 1 carpenter to frame the house? Analyze according to rate as jobs per hour.

14 carpenters, 40 hours.
1 carpenter, 40*14 hours.
Those are for "ONE JOB".

rate for 1 carpenter is 1%2F%2840%2A14%29 jobs per hour.

Now, you have 34 carpenters working together to do this job. The rate of this group of carpenters is 34%2A%281%2F%2840%2A14%29%29 jobs per hour.