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

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) (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)
:
+ = 1
multiply by 11t, results:
6t + 6(11) = 11t
:
66 = 11t - 6t
:
66 = 5t
t =
t = 13.2 min, the 2nd pipe alone
;
:
Check on a calc: enter (6/11) + (6/13.2) = 1
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