You do realize that doing this will probably reduce the output of the Rule bilge pump by over 50% of its rated capacity... Generally, centrifugal pumps, like the Rule, should have as short a run with smooth walled hose and no check valves as possible. The diaphragm pump will act as a set of check valves and cut the output drastically.
You're really better off putting each pump on its own output..... I'd also point out that if you're taking on water, having the two pumps in series means that you're limited to using one or the other... not both... and that might cost you your boat—pennywise and really pound foolish.
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You know what the first rule of sailing is? ...Love. You can learn all the math in the 'verse, but you take
a boat to the sea you don't love, she'll shake you off just as sure as the turning of the worlds. Love keeps
her going when she oughta fall down, tells you she's hurting 'fore she keens. Makes her a home.
—Cpt. Mal Reynolds, Serenity (edited)
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Still—DON'T READ THAT POST AGAIN.