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A tank is fitted with two taps. The first tap can fill the tank completely in 45 minutes and the second tap can empty the full tank in one hour. If both the taps are opened alternately for one minute, then in how many hours the empty tank will be filled completely ?
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- 2 hours 55 minutes
- 3 hours 40 minutes
- 4 hours 48 minutes
- 5 hours 53 minutes
- 2 hours 55 minutes
Correct Option: D
As per the given in question , we have
| Part of the tank filled in one minute = | - | ||
| 45 | 60 |
| Part of the tank filled in one minute = | = | ||
| 180 | 180 |
| ∵ | part is filled in 1 minute | |
| 180 |
| ∴ 1 - | = | part is filled in | = 352 minutes i.e. 5 hours 52 minutes | |||
| 45 | 45 | 45 |
| Remaining | part will be filled in 1 minute. | |
| 45 |
∴ Total time taken = 5 hours 53 minutes
