A tap T1 can fill a tank in 20 minutes and tap T2 can empty the tank in 12 minutes. If the tank is already full and both the taps are opened
Tap 1 fills a tank in 20 minutes
Tap 1 fills part of tank in 1 minute =
Tap 2 fills a tank in 12 minutes
Tap 2 fills part of tank in 1 minute =
If they both are opened together , So, Part of tank filled in 1 minute:
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So, They both filled part of tank in minute = 1
So, They both filled whole tank in minute =
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Hence the tank will be full in 7.5 minutes if both taps are opened together.