New operation mode, separated flow mode, has been developed for in-flight proton decay experiments with the SHARAQ spectrometer. In the separated flow mode, the protons and the heavy-ion products are separated and measured in coincidence at two different focal planes of SHARAQ. The ion-optical properties of the new mode were studied by using a proton beam at $246~{rm MeV}$, and the momentum vector was properly reconstructed from the parameters measured in the focal plane of SHARAQ. In the experiment with the $({}^{16}{rm O},{}^{16}{rm F})$ reaction at a beam energy of $247~{rm MeV/u}$, the outgoing ${}^{15}{rm O}+p$ produced by the decay of ${}^{16}{rm F}$ were measured in coincidence with SHARAQ. High energy resolutions of $100~{rm keV}$ (FWHM) and $sim 2~{rm MeV}$ were achieved for the relative energy of $535~{rm keV}$, and the ${}^{16}{rm F}$ energy of $3940~{rm MeV}$, respectively.
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