Suburban Station, the nearest Septa station, is a about a two minute walk from the Westin. The R1 train leaves suburban station every 30 minutes at the hour and half hour, the trip takes about 20 - 25 minutes. If you buy a one way ticket from the ticket agent the cost will be $6.00 or on board cash fare is $7.00.
If you had a lot of luggage I would say take a cab, but since you don't, the train is a good way to go. If you do take a cab, I agree with google; 20 minutes is about how long it should take.