Question : Pipes A and B can fill a tank in 16 hours and 24 hours, respectively, whereas pipe C can empty the full tank in 40 hours. All three pipes are opened together, but pipe C is closed after 10 hours. After how many hours will the remaining part of the tank be filled?
Option 1: $2 \frac{1}{2}$
Option 2: $2$
Option 3: $5 \frac{1}{2}$
Option 4: $5$
Correct Answer: $2$
Solution : Total Work = Least Common Multiple (LCM) of 16, 24, and 40 = 240 Let the total capacity of the tank be 240 units Efficiency of A = $\frac{240}{16}$ = 15 units Efficiency of B = $\frac{240}{24}$ = 10 units Efficiency of C = $\frac{240}{-40}$ = - 6 units (Since C is emptying the pipe) When all three pipes were opened together for 10 hours, Work done = (15 + 10 – 6) × 10 = 190 units Remaining work = 240 units – 190 units = 50 units Now, Pipe C is closed and the remaining tank will be filled by A and B in = $\frac{50}{(15 + 10)}$ hours. = $\frac{50}{25}$ = 2 hours Hence, the correct answer is $2$.
Result | Eligibility | Application | Selection Process | Cutoff | Admit Card | Preparation Tips
Question : Pipes A and B can fill a tank in 16 hours and 24 hours, respectively, whereas pipe C can empty the full tank in 40 hours. All three pipes are opened together, but pipe A is closed after 10 hours. After how many hours will the remaining part of the tank be filled?
Question : Pipes A and B can fill an empty tank in 6 and 8 hours respectively, while pipe C can empty the full tank in 10 hours. If all three pipes are opened together, then the tank will get filled in:
Question : Pipes A and B can empty a full tank in 18 hours and 24 hours, respectively. Pipe C alone can fill the tank in 36 hours. If the tank is $\frac{5}{6}$ full and all the three pipes are opened together, then in how many hours will the tank be emptied?
Question : Pipes A, B and C can fill an empty tank in $\frac{30}{7}$ hours if all three pipes are opened simultaneously. A and B are filling pipes and C is an emptying pipe. Pipe A can fill the tank in 15 hours and pipe C can empty it in 12 hours. In how much time (in hours) can
Question : Pipes A and B can fill a tank in 18 minutes and $22 \frac{1}{2}$ minutes, respectively while pipe C can empty the full tank in 12 minutes. A and B are opened together for 6 minutes and then closed. Now C is opened. C alone will empty the tank in ____.
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile