on the weekend, the county pool has one open-lap lane session for 45 minutes each day of the weekend. weekday open-lap sessions are for 30 minutes. the number of weekday open-lap sessions vary. last week there were a total of 6 hours of open-lap sessions. how many weekday open-lap sessions were there?
To find the number of weekday open-lap sessions, we need to convert the total hours of open-lap sessions into minutes and subtract the time taken by the weekend open-lap sessions.
Weekend open-lap session per day: 45 minutes
Weekend open-lap sessions per weekend: 1 session
Total time taken by weekend open-lap sessions per weekend: 45 minutes/day * 1 session = 45 minutes
Total time taken by weekend open-lap sessions for two days: 45 minutes/day * 2 days = 90 minutes
Now, let's calculate the weekday open-lap sessions:
Total hours of open-lap sessions for the week: 6 hours
First, convert 6 hours to minutes: 6 hours * 60 minutes/hour = 360 minutes
We already accounted for the 90 minutes taken by the weekend open-lap sessions, so we need to subtract this from the total time:
Total time for weekday open-lap sessions: 360 minutes - 90 minutes = 270 minutes
Since each weekday open-lap session is 30 minutes long:
Number of weekday open-lap sessions = Total time for weekday open-lap sessions / Time per session
Number of weekday open-lap sessions = 270 minutes / 30 minutes/session = 9 weekday open-lap sessions
Therefore, there were a total of 9 weekday open-lap sessions last week.