SOLUTION: 1. Pete can do a job in 4 hours less than Sam can. Working together they can complete the job in 16 hours. How long would it take each working alone? Round your answer to the neare

Question 630012: 1. Pete can do a job in 4 hours less than Sam can. Working together they can complete the job in 16 hours. How long would it take each working alone? Round your answer to the nearest tenth of an hour.

Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
I'll set the problem up and leave it to you to solve.
Let t = the time required for Sam to do the job alone
Then Pete takes t - 4 hrs to do the job
Working together their combined rate is:
1/t + 1/(t-4) = 1 job/16 hr = (1/16) jobs/hr
Now you just need to solve for t
I'm getting 30.1 and 34.1 hrs, to the nearest tenth