Question:

A class starts at 10:00 AM and ends at 1:27 PM. Four sessions of equal duration are held during this interval. After every period, a rest of 5 minutes is given to the students. The exact duration of each session is:

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In time-based problems, subtract rest periods and then divide the remaining time by the number of sessions.
  • 48 min
  • 50 min
  • 51 min
  • 53 min
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The Correct Option is A

Solution and Explanation

To determine the duration of each session, we first calculate the total time from the start to the end of the class. The class starts at 10:00 AM and ends at 1:27 PM.

Step 1: Calculate Total Class Duration

The duration from 10:00 AM to 1:27 PM is:

  • From 10:00 AM to 1:00 PM is 3 hours.
  • From 1:00 PM to 1:27 PM is 27 minutes.

Total class duration = 3 hours + 27 minutes = 3 hours 27 minutes.

Step 2: Convert Hours to Minutes

Total time in minutes = 3 hours × 60 minutes/hour + 27 minutes = 180 minutes + 27 minutes = 207 minutes.

Step 3: Account for Breaks

There are 4 sessions, and after each session except the last one, there is a 5-minute break. Therefore, the number of breaks is 3.

Total break time = 3 breaks × 5 minutes/break = 15 minutes.

Step 4: Calculate Total Teaching Time

Total teaching time = Total class duration - Total break time = 207 minutes - 15 minutes = 192 minutes.

Step 5: Determine the Duration of Each Session

The total teaching time is divided into 4 equal sessions:

Duration of each session = 192 minutes ÷ 4 sessions = 48 minutes per session.

Thus, the duration of each session is 48 minutes.

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