Correct Answer: 7 hours
Explanation:
(A + B)'s 1 hour's work = | ❨ | 1 | + | 1 | ❩ | = | 9 | = | 3 | . |
12 | 15 | 60 | 20 |
(A + C)'s hour's work = | ❨ | 1 | + | 1 | ❩ | = | 8 | = | 2 | . |
12 | 20 | 60 | 15 |
Part filled in 2 hrs = | ❨ | 3 | + | 2 | ❩ | = | 17 | . |
20 | 15 | 60 |
Part filled in 6 hrs = | ❨ | 3 x | 17 | ❩ | = | 17 | . |
60 | 20 |
Remaining part = | ❨ | 1 - | 17 | ❩ | = | 3 | . |
20 | 20 |
Now, it is the turn of A and B and | 3 | part is filled by A and B in 1 hour. |
20 |
∴ Total time taken to fill the tank = (6 + 1) hrs = 7 hrs.
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