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An empty tank can be filled by pipe A in 4 hours and by pipe B in 6 hours. If the two pipes are opened for 1 hour each alternately with first opening pipe A, then the tank will be filled in
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1 1 hours 3 -
2 3 hours 5 -
4 2 hours 3 -
5 1 hours 2
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Correct Option: C
As per the given in question , we have
| Part of the tank filled in first 2 hours = | + | = | = | part | ||||
| 4 | 6 | 12 | 12 |
| ∴ Part of the tank filled in first 4 hours = | parts = | parts | ||
| 12 | 6 |
| Remaining part = 1 - | = | ||
| 6 | 6 |
Now it is the turn of pipe A
Time taken to fill 1 / 4 part = 1 hour
| ∴ Time taken to fill 1 /6 part = | × 4 = | hours | ||
| 6 | 3 |
| ∴ Total time = 4 + | hours | |
| 3 |
| Total time = 4 | hours | |
| 3 |
