SOLUTION: A and B working together can finish a job in T days. If A works alone and completes the job, he will take T + 5 days. If B works alone and completes the same job, he will take T
Question 685827: A and B working together can finish a job in T days. If A works alone and completes the job, he will take T + 5 days. If B works alone and completes the same job, he will take T + 45 days. What is T?
Found 2 solutions by Edwin McCravy, josmiceli:Answer by Edwin McCravy(20054) (Show Source): You can put this solution on YOUR website! A and B working together can finish a job in T days. If A works alone and completes the job, he will take T + 5 days. If B works alone and completes the same job, he will take T + 45 days. What is T?
Their combined rate is 1 job per T days or or
A's rate is 1 job per T+5 days or or
B's rate is 1 job per T+45 hours or or
The equation comes from + = + =
Multiply through by LCD = T(T+5)(T+45) and solve. You'll get T = 15 days.
Edwin