CR_Date <- data.frame(
  pos1="2014-07-01 00:00:00",
  pos2=c("2014-07-01 00:00:00","2014-07-01 10:15:00")
)
CR_Date[] <- lapply(CR_Date,as.POSIXct)
CR_Date

#        pos1                pos2
#1 2014-07-01 2014-07-01 00:00:00
#2 2014-07-01 2014-07-01 10:15:00

CR_Date$pos2[2] - CR_Date$pos1[2]
#Time difference of 10.25 hours
CR_Date$hours <- CR_Date$pos2 - CR_Date$pos1

#Time differences in secs
#[1]     0 36900

#        pos1                pos2      hours
#1 2014-07-01 2014-07-01 00:00:00     0 secs
#2 2014-07-01 2014-07-01 10:15:00 36900 secs

CR_Date$hours <- with(CR_Date, difftime(pos2,pos1,units="hours") )
CR_Date

#        pos1                pos2       hours
#1 2014-07-01 2014-07-01 00:00:00  0.00 hours
#2 2014-07-01 2014-07-01 10:15:00 10.25 hours

CR_Date$hours <- as.numeric(CR_Date$pos2 - CR_Date$pos1, "hours")
CR_Date

#        pos1                pos2 hours
#1 2014-07-01 2014-07-01 00:00:00  0.00
#2 2014-07-01 2014-07-01 10:15:00 10.25

as.numeric(CR_Date$pos2 - CR_Date$pos1, "mins")
#[1]   0 615

as.numeric(CR_Date$pos2 - CR_Date$pos1, "days")
#[1] 0.0000000 0.4270833