One single button or two buttons

I'm working on a transportation service. We offer 2 services:

• Buy a bus ticket, much like public bus
• Book a car, similar to Uber

We have a mobile app, and I'm having problem with one of the screens. The current design is as follow:

• The screen display all the scheduled car or purchased bus ticket.
• A button called 'Book' is fixed at the very bottom of the screen. When tapped, the app will show an action sheet with 2 options: (1) bus service (2) car service. There is also a small 'what are these services?' link behind the 2 option above, that will open a modal explaining each service in details.

The problem: Now one of the team members want to display both options in place of the 'Book' button. At the bottom of the screen will now be 2 buttons, stacking side by side: 'buy bus ticket' and 'book a car'.

Their argument is that it will save users a click to get to those options.

Our users tend to use only one of the two options. If they use the bus service, it's likely that they won't ever use the car service and vice versa.

What is your take on this? I have seen a similar question (One button or two?) but the context is different.