Question : Taps A and B can fill a tank in 15 minutes and 10 minutes, respectively while tap C can empty the full tank in x minutes. If all three taps are opened together, the tank is filled completely in 8 minutes. Tap C alone will empty
Option 1: 10 minutes
Option 2:
Option 3: 9 minutes
Option 4:
Correct Answer: 9 minutes
Solution :
A can fill the tank in one minute =
B can fill the tank in one minute =
Let tap C can empty the tank in
C can empty the tank in one minute =
If all the taps are opened together, the tank is filled in 8 minutes.
According to the question,
⇒
⇒
⇒
⇒
⇒
Thus,
Tap C alone will empty
Hence, the correct answer is 9 minutes.