Work together for a fixed time, then one leaves or joins (or a pipe is closed or opened): time for the rest
This type of question, asked 10 times: 21 Jul 2023 S2, 27 Jul 2023 S3, 10 Sep 2024 S3, 17 Sep 2024 S1, 18 Sep 2024 S2, 23 Sep 2024 S1, 12 Sep 2025 S1, 13 Sep 2025 S2, 15 Sep 2025 S3, 26 Sep 2025 S1. All 10 questions below, oldest first.
Try each one first, then open its answer.
Question 1
21 Jul 2023 S2
62Two pipes S1 and S2 alone can fill an empty tank in 15 hours and 20 hours respectively. Pipe S3 alone can empty that completely filled tank in 40 hours. Firstly both pipes S1 and S2 are opened and after 2 hour pipe S3 is also opened. In how much time tank will be completely filled after S3 is opened?Tap an option to check your answer.
Question 2
27 Jul 2023 S3
75Ram can complete a piece work in 15 days, Rohan in 25 days, and Rohit in 30 days. Rohan and Rohit worked together for 2 days and then Rohit was replaced by Ram. In how many days altogether was the work completed?Tap an option to check your answer.
Question 3
10 Sep 2024 S3
64Pipes P and Q can completely fill a water tank in 10 hours and 15 hours, respectively. A pipe R can empty a tank filled completely with water in 12 hours. Initially, the tank is empty and only pipes P and Q are opened at 6 a.m. and pipe R is also opened at 9 a.m. By what time will the tank be completely filled?Tap an option to check your answer.
Question 4
17 Sep 2024 S1
67Pipes A and B can fill a tank in 15 hours and 25 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 5 hours. After how many hours will the remaining part of the tank be filled?Tap an option to check your answer.
Question 5
18 Sep 2024 S2
63Pipes A and B can fill a tank in 6 hours and 8 hours, respectively. Both pipes are opened together for 3 hours. After that pipe A is closed, and B continues to fill the tank. In how many hours will the tank be filled?Tap an option to check your answer.
Question 6
23 Sep 2024 S1
62A tank can be filled by pipe A in 4 hours and pipe B in 6 hours. At 8:00 a.m., pipe A was opened. At what time will the tank be filled if pipe B is opened at 9:00 a.m.?Tap an option to check your answer.
Question 7
12 Sep 2025 S1
68Three pipes, A, B, and C are capable of filling a tank in 6, 8, and 12 hours, respectively. When all three pipes are opened together, they operate for 2 hours before pipe C is closed. How much additional time will it take to completely fill the tank after that?Tap an option to check your answer.
Question 8
13 Sep 2025 S2
68A can build up a wall in 8 days while B can break it in 3 days. A has worked for 4 days and then B joined to work with A for another 2 days only. In how many days will A alone build up the remaining part of the wall?Tap an option to check your answer.
Question 9
15 Sep 2025 S3
64A and B can complete a task in 12 days and 18 days, respectively. They begin the work together, but B leaves after 4 days. How many more days will A take to finish the remaining work?Tap an option to check your answer.
Question 10
26 Sep 2025 S1
62The efficiency of A, B and C is . A alone can complete the work in 40 days. They all worked together for 5 days and then C left the work. In how many days can A and B together complete the remaining work?Tap an option to check your answer.