From a quick google it looks like the shimano rt31 shoes you mention are only for a 2 bolt spd/mtb cleat. The Time RXS pedals use a 3 bolt SPD-SL or Look style cleat so they are not compatible
@Dry started
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From a quick google it looks like the shimano rt31 shoes you mention are only for a 2 bolt spd/mtb cleat. The Time RXS pedals use a 3 bolt SPD-SL or Look style cleat so they are not compatible