On a given day, David travels from his house to school. After school, David goes on to his part-time job. The ratio of the distance from his house to the school and from the school to his job is 5:6.

David rides his e-scooter at a constant speed of 15km/h from his house and it took him 10 minutes to reach his school.

(a) Find the distance from his house to the school.

(b) Find the distance from the school to his part-time job.

It costs David 72c per hour to charge his e-scooter. He is able to travel directly from his house to his part-time job and back home again on a fully charged battery.

(c) If he takes 45 minutes to fully charge the battery, how much will it cost him to ride from home to his job?

Please have explanations too because I'm clueless!