score:5
I found an official site for the Romanian railways, and according to it, there is really a train from Constanta to the Bucharest, which will be at your station at 13:06 local time.
There is no other trains to the Bucharest, according to the same site (and here), so I think this train will be :)
According this site, the price will be 23.8 RON
.
All I can find about the romanian buses is this site with the list of sites.
Most informative was this one, but I can't find any bus from Murfatlar there, only from ConstanΘa station (near 55 RON
), so I think the train will be cheaper.