You did not mention what model car, so I picked the Toyota Avensis as an example.
The first number is Combined MPG. The 2nd is 0-100KPH Speed/Time.
1.8 Petrol = 44 MPG 9.4 secs
2.0 Diesel (125BPH) = 55 MPG 9.7 secs
2.0 Diesel (150BPH) = 51 MPG 8.9 secs
So, there are 2 Diesel Versions : A 125BHP version and a 150BPH Version.
Both are More Economical than the 1.8 Petrol.
The Diesel 125BPH Version is only Marginally slower than the 1.8 Petrol.
The Diesel 150BPH Version is Faster than the 1.8 Petrol.
You will find that the 125BPH Diesel does not feel that much slower than the Petrol. It would have more Low End Torque - good for pulling a heavy load. 1.8 Petrol is more "boy-racer" revving higher.
So, please check the exact Model and Version, as you can only do a proper comparison with this information.