Question : Pipes A and B can fill a tank in 36 hours and 48 hours, respectively. Both pipes are opened together for 9 hours and then A is closed. Pipe B alone will fill the remaining part of the tank now in:
Option 1: $20 \frac{1}{2}$ hours
Option 2: $25$ hours
Option 3: $27$ hours
Option 4: $24$ hours
Correct Answer: $27$ hours
Solution : Given: Pipes A and B can fill a tank in 36 hours and 48 hours, respectively. Both pipes are opened together for 9 hours and then A is closed. Let the total work be 144 units. (LCM of 36 and 48) So, the efficiency of A $=\frac{144}{36}=$ 4 and the efficiency of B $=\frac{144}{48}=$ 3 The work completed in 9 hours by pipes A and B $=(4 + 3) \times 9 = 63$ units The work left = 144 – 63 = 81 units The time required to complete the remaining work by Pipe B alone $=\frac{81}{3}=27$ hours Hence, the correct answer is $27$ hours.
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 C 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 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 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 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 : Two pipes A and B can fill a tank in 6 hours and 8 hours respectively. If both the pipes are opened together, after how many hours should B be closed so that the tank is full in 4 hours?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile