Three pipes \(A, B,\) and \(C\) can fill tank in \(10, 15\) and \(25\) minutes respectively. All the three taps are used simultaneously to fill the tank. But, due to a leak at the bottom of the tank, only \(\dfrac{1}{3}\)rd of the tank was filled by the time it was supposed to be full. In how much time could the leak empty a full tank?

A. \(\dfrac{75}{31}\)

B. \(\dfrac{150}{31}\)

C. \(\dfrac{225}{31}\)

D. \(\dfrac{15}{2}\)

E. \(\dfrac{450}{31}\)

The OA is C

Source: E-GMAT