Calendar recordLastModifiedDate = Calendar.getInstance();
Date lastModifiedDate = recordLastModifiedDate.getTime();
lastModifiedDate = DateUtils.addMinutes(lastModifiedDate, -1*elapsedTimeInMinutes); //add minute
recordLastModifiedDate.setTime(lastModifiedDate);        
SearchDateField searchDateField = new SearchDateField();
searchDateField.setOperator(SearchDateFieldOperator.onOrAfter);
searchDateField.setSearchValue(recordLastModifiedDate);
custSearchBasic.setLastModifiedDate(searchDateField);