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Two pipes A and B can fill a tank in 36 minutes and 45 minutes respectively. Another pipe C can empty the tank in 30 minutes. First A and B are opened. After 7 minutes, C is also opened. The tank is filled up in
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- 39 minutes
- 46 minutes
- 40 minutes
- 45 minutes
- 39 minutes
As per the given in question , we have
Part of the tank filled by pipes A and B in 1 minute = | 1 | + | 1 | = | 5 + 4 | = | 9 | = | 1 |
36 | 45 | 180 | 180 | 20 |
Part of the tank filled by these pipes in 7 minutes = | 7 | |
20 |
Remaining unfilled part = 1 – | 7 | = | 20 - 7 | = | 13 |
20 | 20 | 20 |
= | 1 | - | 1 | = | 3 - 2 | = | 1 |
20 | 30 | 60 | 60 |
∴ Time taken in filling | 13 | part | = | 13 | × 60 = 39 minutes |
20 | 20 |
Required time = 39 + 7 = 46 minutes
Correct Answer:
Description for Correct answer:
= \( \Large 7 + 39\ minutes = 46 \) min
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