A pump delivers water at $\backslash (20^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ between a reservoir and a water tank $24$ m higher. The suction side consists of a strainer $\backslash ((\backslash$mathrm$\{$ks$\}=2\mathrm{.}5)\backslash ),$ three $\backslash (90^\{\backslash$circ$\}\backslash )$ bends $\backslash (($R $/$ D$=4)\backslash ),$ and $50$ m of ductile$-$iron pipe, $35$ cm in diameter. The discharge side includes a $\backslash (155-\backslash$mathrm$\{$m$\}\backslash )-$long, ductile iron pipe, $20$ cm in diameter, and a gate valve. Assume the friction factor throughout the pipeline is $0\mathrm{.}018,$ the NPSH required is $5$ m $,$ and the design discharge is $\backslash (300\backslash$mathrm$\{$~L$\}/\backslash$mathrm$\{$s$\}\backslash ).$ Determine the allowable elevation difference between the pump and the reservoir water surface to avoid cavitation. Assume the strainer coefficient includes the entrance loss coefficient.