SOLUTION: Miguel works 3 times faster than Steven. Together they do a job in 9 hours. ow long does it take Steven working alone to do the same job?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Miguel works 3 times faster than Steven. Together they do a job in 9 hours. ow long does it take Steven working alone to do the same job?      Log On


   



Question 663495: Miguel works 3 times faster than Steven. Together they do a job in 9 hours. ow long does it take Steven working alone to do the same job?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Miguel works 3 times faster than Steven.
Together they do a job in 9 hours.
How long does it take Steven working alone to do the same job?
:
Let t = time required by M to do the job
then
3t = time required by S
:
Let the completed job = 1
:
9%2F%28%283t%29%29 + 9%2Ft = 1
multiply by 3t, results:
9 + 3(9) = 3t
9 + 27 = 3t
36 = 3t
t = 36/3
t = 12 hrs for M to do the job
but they want how long it took S:
3(12) = 36 hrs for S to do it
: