A certain part of the cast iron piping of a water distribution system involves a parallel section. Both parallel pipes have a diameter of 30 cm, and the flow is fully turbulent. One of the branches (pipe A) is 1500 m long while the other branch (pipe B) is 2500 m long. If the flow rate through pipe A is 0.4 m^3/s, determine the flow rate through pipe B. Disregard minor losses and assume the water temperature to be 15C. Show that the flow is fully rough, and thus the friction factor is independent of Reynolds number.