Question : Three pipes, A, B, and C can fill an empty cistern in 2, 3, and 6 hours respectively. They are opened together. After what time should B be closed, so that the cistern gets filled in exactly 1 hr 15 min?
Option 1: 20 min
Option 2: 45 min
Option 3: 30 min
Option 4: 15 min
Correct Answer: 30 min
Solution :
Given:
Pipes A, B, and C can fill empty cisterns in 2, 3, and 6 hours respectively.
Now,
Total time taken 1 hr 15 min =
Let total work = LCM (2, 3, 6) = 6
Work done by A in 1 hr =
Work done by B in 1 hr =
Work done by C in 1 hr =
Work done by A, B, and C in 1 hr = 3 + 2 + 1 = 6 units
A, B, and C are opened together but after
So, according to the question
Hence, the correct answer is 30 min.