On a hot summer day, Eve and her friends decided to play with water. They played with water balloons for 1 hour and 18 minutes. When all the water balloons were gone, they played with the water hose for 53 minutes. They finished playing at 4:31 P.M. when Eve's dad showed up with ice cream. What time did they start playing?

To find out what time they started playing, we need to subtract the total time they played from the time they finished playing.

Total time playing with water balloons and water hose: 1 hour and 18 minutes + 53 minutes = <<1+18+53=72>>72 minutes

To convert the time to hours, divide the total minutes by 60: 72 minutes / 60 minutes/hour = 1.2 hours

To find out what time they started, subtract 1.2 hours from the time they finished: 4:31 P.M. - 1.2 hours = 3:11 P.M.

They started playing at 3:11 P.M.