8-hour schedule per day is common across the industries. 8 hours is the minimum amount of time employee must spend to get a full day salary. Therefore, asking reduction of the working hours would be unjustified.
Secondly, suppose if you are given exemption to come late, others employees will have reasons, as much genuine as you have. How long owner can go on satisfying the requirement?
Lastly, before accepting the employment, you could have been thoughtful of the fact that you would be required to stay away from home or if you stay at home then it would be 2:30 hours for one-way travel.
The only solution available could be to work for half day. However, this would mean under-utilisation of the capacity of the office. How far owner will agree for this requirement that remains to be seen.