When people refer to 'driving 60 miles', they're usually referring to 'open road' driving, from A to B, rather than 'around town'. If so, several web pages state that you can get 50mpg. So you'll need 1.2 gallons = 5.45 litres which, at �1.05 per litre, costs �5.72.
If I was driving the car and a friend had asked me to drive them on a 60 mile journey, for the cost of the fuel, I'd charge them �6. However, if I was the friend (and had done the calculations), I'd offer �7 or �8 to allow for sections of the journey with lower fuel economy, so as to ensure that the driver didn't make a loss.
Chris