Question 119289
In one minute cold water fills 1/15, hot water 1/12, drain -1/25
Together: 1/15 + 1/12 -1/25 = 20/300 + 25/300 - 12/300 = 33/300 = 11/100
One minute fills 11% of the sink.
x minutes cold water fills x/15, hot water x/12, drain -x/25
Together: x/15 + x/12 -x/25 = 1 (sink)
1 = x/15 + x/12 -x/25 = 20x/300 + 25x/300 - 12x/300 = 33x/300 = 11x/100
1 = 11x/100
--> x = 100/11 minutes = 9 minutes + 60/11 seconds = 9 minutes + 5.4545... seconds