Two pipes A, B can fill a cistern in 10 hours and 12 hours respectively working alone while the leak present can empty the cistern in 15 hours. If both pipes are opened together, then find the time taken to fill the cistern.

Two pipes A, B can fill a cistern in 10 hours and 12 hours respectively working alone while the leak present can empty the cistern in 15 hours. If both pipes are opened together, then find the time taken to fill the cistern.
1). 7 hours
2). \(8\frac{4}{7}\) hours
3). \(7\frac{6}{7}\) hours
4). \(9\frac{5}{6}\) hours

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