Directions: Read the following information to answer the question.
Pipe A, B and C are kept open and together fill a tank in t minutes. Pipe A is kept open throughout, pipe B is kept open for the first 10 minutes and then closed. Two minutes after pipe B is closed, pipe C is opened and is kept open till the tank is full. Each pipe fills an equal share of the tank. Furthermore, it is known that if pipe A and B are kept open continuously, the tank would be filled completely in t minutes. How long will it take C alone to fill the tank ?
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A is kept open for all t minutes and fills one-third the tank. Or, A should be able to fill the entire tank in '3t' minutes. A and B together can fill the tank completely in t minutes. A alone can fill it in 3t minutes. A and B together can fill 1/tof the tank in a minute. A alone can fill 1/3tof the tank in a minute. So, in a minute, B can fill 1/t– 1/3t= 2/3t
Or, B takes 3t/2minutes to fill an entire tank. To fill one-third the tank, B will take t/2minutes. B is kept open for t - 10 minutes. t/2= t - 10, t = 20 minutes. A takes 60 minutes to fill the entire tank, B takes 30 minutes to fill the entire tank. A is kept open for all 20 minutes. B is kept open for 10 minutes. C, which is kept open for 8 minutes also fills one-third the tank. Or, C alone can fill the tank in 24 minutes.
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