---
title: "A horizontal water pipe branches into three smaller identical pipes. The main pipe has a cross-sectional area \\( A \\) and the water flows at a speed \\( v \\). If the water in each of the three branches flows at a speed of \\( \\dfrac{4}{3} v \\), what is the cross-sectional area of each branch?"
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url: "https://nerd-notes.com/ubq/107170/"
date_modified: "2026-08-18T02:38:19+00:00"
---

# A horizontal water pipe branches into three smaller identical pipes. The main pipe has a cross-sectional area \( A \) and the water flows at a speed \( v \). If the water in each of the three branches flows at a speed of \( \dfrac{4}{3} v \), what is the cross-sectional area of each branch?

A horizontal water pipe branches into three smaller identical pipes. The main pipe has a cross-sectional area \( A \) and the water flows at a speed \( v \). If the water in each of the three branches flows at a speed of \( \dfrac{4}{3} v \), what is the cross-sectional area of each branch?

- **A.** \[ \dfrac{3A}{4} \]
- **B.** \[ \dfrac{A}{12} \]
- **C.** \[ \dfrac{A}{4} \]
- **D.** \[ \dfrac{A}{3} \]

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/107170/*