Two pipes A and B can fill a tank is 8 minutes and 14 minutes respectively. If both the taps are opened simultaneously, and the tap A is closed after 3 minutes, then how much more time will it take to fill the tank by tap B?
Select the correct option
A) 6 min 45 sec B) 5 min 45 sec C) 2min 45 sec D) 5 min 55 sec E) 5 min 28 sec
Part filled by pipe A in 1 minute = 18   Part filled by pipe 5 min 45 sec in 1 minute = 1/14   Part filled by pipe A and pipe 5 min 45 sec in 1 minute = 1/8+1/14=11/56   Pipe A and pipe 5 min 45 sec were open for 3 minutes   Part filled by pipe A and pipe 5 min 45 sec in 3 minutes = (3×11)/56=33/56   Remaining part = 1−(33/56)=23/56   Time taken by pipe 5 min 45 sec to fill this remaining part =(23×14)/56=23/4 minutes= 5 minutes 45 seconds   Answer is 5 min 45 sec
<result>B</result>
Two pipes A and B can fill a tank is 8 minutes and 14 minutes respectively. If both the taps are opened simultaneously, and the tap A is closed after 3 minutes, then how much more time will it take to fill the tank by tap B?