$ $5\mathrm{.}34$ Sheldon and Leonard come home from a long day of studying to discover that their basement is flooded with water. They have a submersible pump for such an emergency and connect the pump discharge to a $3\mathrm{.}6$ m $-$long garden hose, ats shown in Fig. P$8\mathrm{.}5\mathrm{.}34.$ The garden hose may be considered a smooth plastic pipe with a $0\mathrm{.}025$ m inside diameter. If the initial water depth is $0\mathrm{.}15$ m and the pump has an input power of $186\mathrm{.}5$ W and an overall efficiency of $0\mathrm{.}60,$ how long will it take to pump out the basement? The pump inlet piping length is negligible, and the garden hose outlet is $2\mathrm{.}1$ m above the basement floor.

FIGUAE PE$5\mathrm{.}5\mathrm{.}39$