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Three taps A, B and C can fill a tank in 12 minutes, 15 minutes and 20 minutes respectively. If tap A is opened all the time while tap B and C are opened for 1 minute each alternately such that tap B opened first, then the time taken to fill the tank is :

Solution

✅ Correct Option: 4

Per minute A fills 112\frac{1}{12}. With B the rate is 960\frac{9}{60} and with C it is 860\frac{8}{60}, so each 2-minute cycle fills 1760\frac{17}{60}. Three cycles (6 minutes) fill 5160\frac{51}{60}, and the 7th minute with B adds exactly 960\frac{9}{60}. Total 7 minutes.

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