It sounds as if the xray has an initial surge. What condition causes the surge? Is it only on startup, or does it occur as the xray is taken each time? If its only a startup surge - charging a capacitor bank or something - maybe the machine can be soft started. This would lower the 140A max drain and lengthen the time only slightly.
99% of an X-ray machines electrical energy is converted to heat. There are huge electrical filaments in the X-ray machine that warm the X-ray tube. Heating a cooled down tube is where most of the energy draw is used. Once warmed up, amperage is cut more than half. I do not know if a slow start would burn anything out in the machine itself or greatly lengthen start up time.