Two pipes, D and E, can fill a cistern in 26 and 78 hours, respectively, while working alone. If the two pipes are opened together, the time taken to fill the cistern is:

1
18\(\frac{1}{4}\) hours
2
19\(\frac{1}{4}\) hours
3
19\(\frac{1}{2}\) hours
4
18\(\frac{1}{3}\) hours

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