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Let the capacity of the cistern = 180 units Then, efficiency of pipe ‘A’ = 180/18 = 10 units/minute Efficiency of pipe ‘B’ = 180/20 = 9 units/minute Efficiency of pipe ‘C’ = 180/12 = 15 units/minute So, combined efficiency of pipes ‘A’, ‘B’ and ‘C’ = 10 + 9 – 15 = 4 units/minute 50% of the cistern’s capacity = 90 units Therefore, time taken by all 3 pipes together to fill 50% of the cistern = 90/4 = 22.5 minutes
32, 50, 82, 124, 180, 252
224, 183, 144,115, 86, 63, 44.
29, 36, 59, 74, 105, 144
32, 41, 66, 115, 236, 415
640 1920 240 720 92 270
96, 480, 120, 360, 150, 750
1034, 2364, 4091, 6257, 9030, 12404
A-5, A, 35, 52, 78, 115
1, 2, 8, 48, 386, 3840
128, 128, 64, 192, 42 , 240