SOLUTION: A sink can be filled in 3 minutes. Suzi is filling and draining the sink at the same time. In 15 minutes the sink starts to overflow. How many minutes does it take to drain the sin

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Question 291776: A sink can be filled in 3 minutes. Suzi is filling and draining the sink at the same time. In 15 minutes the sink starts to overflow. How many minutes does it take to drain the sink?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A sink can be filled in 3 minutes. Suzi is filling and draining the sink at the same time.
In 15 minutes the sink starts to overflow.
How many minutes does it take to drain the sink?
:
Let x = time required to drain the sink
:
Let the full sink = 1
:
Filling (+) draining(-)
15%2F3 - 15%2Fx = 1
multiply equation by 3x
15x - 3(15) = 3x
15x - 45 = 3x
15x - 3x = 45
12x = 45
x = 45%2F12
x = 3.75 minutes to drain a full sink
;
:
Check solution
15%2F3 - 15%2F3.75 =
5 - 4 = 1