The question below is followed by three statements I, II, and III. You have to determine whether the data given is sufficient for answering the question. You should use the data and your knowledge of mathematics to choose the best possible answer. A water tank is to be filled. Pipe A is opened for 10 minutes and then closed. After that pipe, B is opened and the remaining tank is filled by Pipe B alone. In how much time pipe B filled the remaining tank working alone? I. Pipe A and B together can fill a tank in 12 minutes. II. Pipe B, C, can fill a tank in 10 minutes. The ratio of their efficiency is 1 : 2 III. Pipe D and C can fill a tank in 12 minutes
The question below is followed by three statements I, II, and III. You have to determine whether the data given is sufficient for answering the question. You should use the data and your knowledge of mathematics to choose the best possible answer. A water tank is to be filled. Pipe A is opened for 10 minutes and then closed. After that pipe, B is opened and the remaining tank is filled by Pipe B alone. In how much time pipe B filled the remaining tank working alone? I. Pipe A and B together can fill a tank in 12 minutes. II. Pipe B, C, can fill a tank in 10 minutes. The ratio of their efficiency is 1 : 2 III. Pipe D and C can fill a tank in 12 minutes Correct Answer Statement I and II together is sufficient
Let the total work = 60 units
From I
Efficiency of A + B working together = 60/12 = 5
From II
Efficiency of C + B working together = 60/10 = 6
Efficiency of B = 6 × (1/3) = 2
Efficiency of A = 5 – 2 = 3
We know the ratio of efficiency, we can calculate the time taken by pipe B to fill the remaining tank
Question can be answered using statement I and II together