A cyclist rides from his house to the local park. Along the way, at 10 AM, he overtakes a jogger who is also traveling to the park along the same route. The jogger is moving four times slower than the cyclist.

The cyclist reaches his destination at the park, rests for 15 minutes, then takes off again back home. At 11 AM, he oases the same jogger still making her way to the park. Finally, the cyclist reaches his house at the same moment the jogger reaches the park.

At what time did the cyclist originally leave his house?