SOLUTION: One custodian cleans a room of suites in 5 hours. When a second worker is asked to join the regular custodian, the job only takes 3 1/3 hours. How long does it take the second work

Algebra ->  Rate-of-work-word-problems -> SOLUTION: One custodian cleans a room of suites in 5 hours. When a second worker is asked to join the regular custodian, the job only takes 3 1/3 hours. How long does it take the second work      Log On


   

Question 911155: One custodian cleans a room of suites in 5 hours. When a second worker is asked to join the regular custodian, the job only takes 3 1/3 hours. How long does it take the second worker to do the job alone?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
x time it takes for the second worker to do the job alone
1%2F5+%2B+1%2Fx+=+1%2F%2810%2F3%29
1%2F5+%2B+1%2Fx+=+3%2F%2810%29 |Multiplying thru by 10x so as all denominators = 1
2x + 10 = 3x
10hr = x,time it takes for the second worker to do the job alone