(Solution) - Can the method of equivalent pipes be used to find -(2025 Original AI-Free Solution)

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Can the method of equivalent pipes be used to find a single hypothetical pipe that is equivalent to the pipe system of Example 3.10? If your answer is yes, determine an equivalent pipe. If your answer is no, explain your answer.
Example 3.10
Pipes AB and CF in Figure 3.20 have a diameter of 4 ft, possess a Darcy-Weisbach friction factor of 0.02 and carry a discharge of 120 cubic feet per second (cfs). The length of AB is 1.800 ft and that of DF is 1,500 ft. Branch l is 1,800 ft long and has a diameter of 3 ft and a friction factor of 0.018. Branch 2 has a length of 1.500 ft a diameter of 2 ft and a friction factor of 0.015
(a) Determine the total head loss resulting from friction between points A and F, and
(b) Determine the discharge in each of the two branches (1 and 2).