A single phase a.c. generator supplies the following loads :
(i) Lighting load of 20 kW at unity power factor.
(ii) Induction motor load of 100 kW at p.f. 0.707 lagging.
(iii) Synchronous motor load of 50 kW at p.f. 0.9 leading.
Calculate the total kW and kVA delivered by the generator and the power factor at which it works.