Flow volume comparison in a pipe network

Steps:

• Identify flow rates: Main pipe X has highest volume, branch Y receives most of main flow minus small diversion, minor branch Z gets minimal flow.
• Apply continuity principle: Total volume conserved, so Y ≈ X minus small loss, Z << Y.
• Calculate daily volumes: Use Q = A*v for each point, integrate over 24 hours.
• Compare: Y slightly below X (e.g., 95% of X), Y much above Z (e.g., 10x Z).

Why D is correct:

• Continuity equation ensures volume through Y is nearly equal to X (slight reduction from minor upstream diversion) but far exceeds Z (small branch takeoff), matching "slightly less than X but much greater than Z."

Why the others are wrong:

• A: Y > Z is true, but ignores Y < X.
• B: Y < X is true, but ignores Y > Z.
• C: Y << X contradicts slight reduction; Y > Z is true but not the full comparison.

Final answer: D