Pump characteristics

$\backslash$table$[[H(m),31\mathrm{.}3,29\mathrm{.}2,27\mathrm{.}6,26\mathrm{.}5,23\mathrm{.}7,22\mathrm{.}3,20\mathrm{.}5,19\mathrm{.}4,16\mathrm{.}1],[Q(l\frac{t}{s}),0,67\mathrm{.}2,82\mathrm{.}5,95\mathrm{.}8,107\mathrm{.}5,118,126,137,144],[n(\%),0,69,80,86,88,77,82,75,52]]$

Pipeline characteristics.

$\backslash$table$[[$Q$($lt$/$s$),0,10,20,30,40,50,60,70,80],[$the$,,,,,,,,,]]$

The characteristics of a pump and the pipeline it is connected to are given above. The pipeline length is $1000$ m $,$ the pipe diameter is $150$ mm $,$ the friction coefficient is $0\mathrm{.}02.$ Hst$-10$ m$.$ Accordingly.

a$)$ Find the actual operating point of the pump. $($Hactual$,$ Qactual, n$)$

b$)$ Find the flow rate, head and efficiency when the same two pumps are connected in series to the pipeline. $($H$1+2,$ Q$1+2,$ Nort$)$