Bite-sized brain teaser to solve in a minute or less.
Tuition Time
Professor James tutors students in mathematics from 9:00 AM to 5:00 PM every weekday. He allocates 30 minutes per student for private tutoring sessions and conducts two 1-hour 5-student group study sessions daily. Additionally, he takes two 30-minute breaks during the day.
How many students can Professor James tutor in one day with his full schedule?
Solution
| Professor James' working day is 8 hours long. Of those 8 hours, he takes a total of 1 hour (two 30-minute breaks) in break time. So, he tutors for a total of 7 hours.
He conducts two 1-hour sessions, leaving him with 5 hours to conduct private sessions. He teaches 1 student per 30 minutes, or 2 students per hour during the private sessions 5 hours x 2 students = 10 students per day during private sessions He teaches 5 students per group during two group sessions 2 hours x 5 students = 10 students per day during group sessions 10 + 10 = 20 students Professor James can tutor 20 students in one day with a full schedule. |
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