A class starts at 10:00 am and lasts till 1:27 pm. Four periods are held…
2025
A class starts at 10:00 am and lasts till 1:27 pm. Four periods are held during this interval. After every period, 5 minutes are given free to the students. The exact duration of each period is:
- A.
42 minutes
- B.
48 minutes
- C.
51 minutes
- D.
53 minutes
Attempted by 1 students.
Show answer & explanation
Correct answer: B
When a total time interval is split into several equal working segments separated by fixed breaks, the relationship is: (number of segments × segment length) + (number of breaks × break length) = total interval length. This gives a linear equation in the unknown segment length.
Compute the total elapsed time: from 10:00 am to 1:27 pm is 3 hours 27 minutes, that is 207 minutes.
Let the duration of each period be x minutes.
With 4 periods held back-to-back, there are 3 breaks between them (no break follows the last period, since the 207-minute window ends there), each 5 minutes long: total break time = 3 × 5 = 15 minutes.
Set up the equation: 4x + 15 = 207.
Solve: 4x = 192, so x = 48.
Cross-check: 4 periods of 48 minutes = 192 minutes; plus 3 breaks of 5 minutes = 15 minutes; total = 207 minutes, matching 3 hours 27 minutes from 10:00 am to 1:27 pm. This confirms 48 minutes.