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A tank can be filled by pipe A in 2 hours and pipe B in 6 hours. At 10 A.M. pipe A was opened. At what time will the tank be filled if pipe B is opened at 11 A.M.?
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- 12.45 A.M.
- 5 P.M
- 11.45 A.M.
- 12 P.M.
- 12.45 A.M.
Correct Option: C
From the given question ,
Part of the tank filled in 1 hour by pipe A = | ||
2 |
Part of the tank filled by both pipes in 1 hour = | + | = | = | ||||
2 | 6 | 6 | 3 |
So, Time taken to fill 2 /3 part = 60 minutes
∴ Time taken to fill | part | = | × | = 45 minutes | |||
2 | 2 | 2 |
∴ The tank will be filled at 11 : 45 A.M.