SOLUTION: One pump can drain a pool in 11 minutes. When a second pump is also used, the pool only takes 6 minutes to drain. How long would it take the second pump to drain the pool if it wer

Algebra ->  Rate-of-work-word-problems -> SOLUTION: One pump can drain a pool in 11 minutes. When a second pump is also used, the pool only takes 6 minutes to drain. How long would it take the second pump to drain the pool if it wer      Log On


   



Question 230986: One pump can drain a pool in 11 minutes. When a second pump is also used, the pool only takes 6 minutes to drain. How long would it take the second pump to drain the pool if it were the only pump in use?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
One pump can drain a pool in 11 minutes.
When a second pump is also used, the pool only takes 6 minutes to drain.
How long would it take the second pump to drain the pool if it were the only pump in use?
;
Let t = time required by the 2nd pump alone
:
Let the completed job = 1 (a drained pool)
:
6%2F11 + 6%2Ft = 1
multiply by 11t, results:
6t + 6(11) = 11t
:
66 = 11t - 6t
:
66 = 5t
t = 66%2F5
t = 13.2 min, the 2nd pipe alone
;
:
Check on a calc: enter (6/11) + (6/13.2) = 1