A main water line of diameter delivers water at a speed of to a T-junction where the…

MATHEMATICS · Single correct · A Level · Mathematics · Quantities and units in mechanics · Quantities and units in mechanics

Problem

A main water line of diameter

4.0\,\text{cm}

delivers water at a speed of

1.5\,\text{m}\,\text{s}^{-1}

to a T-junction where the flow splits into Pipe A (diameter

2.0\,\text{cm}

) and Pipe B (diameter

3.0\,\text{cm}

). The speed in Pipe A is measured to be

2.8\,\text{m}\,\text{s}^{-1}

. Approximately how long, in minutes, will it take the combined outflow of both pipes to deliver

10{,}000\,\text{L}

of water to a storage tank? (a) About

9.0\,\text{min}

(b) About

22\,\text{min}

89\,\text{min}

(d) About

180\,\text{min}