One fill pipe A is 3 times faster than second fill pipe B and takes 32 minutes less than the pipe B. When will the cistern be full if both pipes are opened together? एक भरण पाइप A दूसरी भरण पाइप B की तुलना में 3 गुना तेज है और अतः पाइप B से 32 मिनट कम लेती है। दोनों पाइप एक साथ खोले जाने पर टंकी को भरने में कितनी देर लगेगी?

Let pipe B's time = x minutes. Pipe A is 3 times faster, so it fills 3 tanks in the time B fills 1, meaning A's time = x/3 minutes. Given A takes 32 minutes less than B: x - x/3 = 32, so (2x/3) = 32, giving x = 48 minutes. So B takes 48 minutes, A takes 16 minutes. Together: 1/16 + 1/48 = 4/48 tank per minute. Time to fill = 48/4 = 12 minutes. Option B is correct.