Irina rode her bike to work at an average speed of 16 miles per hour. It started to rain, so she got a ride home along the same route in her coworker’s car at an average speed of 27 miles per hour. If Irina’s ride home in the car took 24 minutes ( 0 point 4 of an hour), how many hours was her bike ride to work, to the nearest tenth of an hour?