Nick went with two friends to fiesta Texas to ride roller coaster, bumper cars, and water slides. The wait for the roller coaster was 1 hour, the wait for the bumper cars was 20 minutes long, and the wait for the water slides was only 15 minutes long. Nick rode 10 total rides during his visit. Because he enjoys roller coasters the most, the number of times he rode the roller coaster was the sum of the times he rode the other two rides. If nick waited in line for a total of 6 hours and 20 minutes, how many of each ride did he go on?